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Tire Ratio Calculator

Calculate tire aspect ratios, compare overall diameters between tire sizes, and determine speedometer error when changing tires. Enter tire size codes (like 225/45R17) to decode dimensions, find equivalent sizes, and understand how tire changes affect your vehicle's performance and accuracy.

Tire Ratio Calculator — リアルタイム比率プレビュー
Tire Dimensions
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Proportion Solver
A : B = C : D — Enter any 3 values
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Results
Visual ratio breakdown
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    Ratio Simplifier
    Reduce any ratio to its simplest form
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    Simplified Result
    Reduced to lowest terms
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      Ratio Scaler
      Multiply a ratio by a scale factor
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      Ratio after scaling
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        What is Tire Aspect Ratio?

        The tire aspect ratio is the sidewall height expressed as a percentage of the tire's section width. In a 225/45R17 tire, the aspect ratio is 45 — meaning the sidewall height is 45% of the 225mm width, equaling 101.25mm. Combined with the wheel diameter (17 inches), this determines the tire's overall diameter, which directly affects speedometer accuracy, gear ratios, ground clearance, and ride quality.

        When changing tire sizes, maintaining a similar overall diameter is critical. A tire that is too tall makes the speedometer read slower than actual speed (dangerous), while a tire that is too short makes it read faster. Most manufacturers recommend staying within 3% of the original tire diameter. This calculator compares any two tire sizes and shows the exact diameter difference and speedometer error.

        使用される計算公式・方程式

        この計算ツールは5つの主要な公式を使用しています:

        1 Sidewall Height ▼
        Sidewall = Section Width × (Aspect Ratio / 100)

        225mm width × 45/100 = 101.25mm sidewall height.

        2 Overall Tire Diameter ▼
        Diameter = (2 × Sidewall) + (Rim Diameter × 25.4)

        225/45R17: Diameter = (2 × 101.25) + (17 × 25.4) = 202.5 + 431.8 = 634.3mm = 24.97 inches.

        3 Speedometer Error ▼
        Error % = ((New Diameter / Old Diameter) - 1) × 100

        Going from 634mm to 660mm: Error = (660/634 - 1) × 100 = +4.1%. Speedometer reads slow by 4.1%.

        Explore all calculation options on the 比率計算ツール home page.

        比率計算ツールの使い方

        この比率計算ツールは、以下の3ステップで簡単にご利用いただけます:

        1

        数値を入力

        入力欄に既知の比率の値を入力します。求めたい未知数の入力欄は空欄のままにしておきます。

        2

        モードを選択

        比率モード(解く、簡素化、スケーリング)を選択します。各モードで異なる計算式が適用されます。

        3

        結果を確認

        計算するボタンを押します。結果画面に答えと、視覚的な比率バー、円グラフ、詳細なステップバイステップの解決プロセスが表示されます。

        実例問題と段階的な解説

        本比率計算ツールを使って、以下の3つの例題をステップバイステップで解決するプロセスです:

        入力 1 Decode tire size 245/40R18
        1 Tire width = 245 mm.
        2 Aspect ratio (Profile) = 40% (Sidewall height = 245 × 0.40 = 98 mm = 3.86 inches).
        3 Wheel rim diameter = 18 inches.
        4 Total overall tire diameter = 18 + (2 × 3.86) = 25.72 inches (653.2 mm).
        ✓ Sidewall: 98mm (3.86") | Overall Diameter: 25.72"
        入力 2 Compare 225/45R17 vs 235/40R18
        1 Tire 1 (225/45R17): Diameter = 17 + 2 × (225 × 0.45 / 25.4) = 24.97 inches.
        2 Tire 2 (235/40R18): Diameter = 18 + 2 × (235 × 0.40 / 25.4) = 25.40 inches.
        3 Difference: +0.43 inches (+1.72% speedometer variance).
        ✓ Diameter Difference: +0.43" (+1.72% Speedo Error)
        入力 3 Find aspect ratio for target diameter
        1 Target diameter = 28.0 inches on 20" wheel with 275mm tire.
        2 Total sidewall height needed: (28.0 - 20) / 2 = 4.0 inches = 101.6 mm.
        3 Aspect ratio = (101.6 ÷ 275) × 100% = 36.9% (Select 275/35R20 or 275/40R20).
        ✓ Recommended Size: 275/35R20 (27.6") or 275/40R20 (28.7")

        よくある質問 (FAQ)

        What does the tire aspect ratio number mean? ▼

        The aspect ratio is the sidewall height as a percentage of the tire's width. In a 225/45R17, the aspect ratio 45 means the sidewall is 45% of 225mm = 101.25mm tall. Lower aspect ratios (30-40) are 'low profile' with short sidewalls; higher ratios (55-75) have taller sidewalls.

        How do I calculate overall tire diameter? ▼

        Overall Diameter = (2 × Sidewall Height) + Wheel Diameter. Sidewall = Width × (Aspect Ratio / 100). For 225/45R17: Sidewall = 225 × 0.45 = 101.25mm. Diameter = (2 × 101.25) + (17 × 25.4mm) = 202.5 + 431.8 = 634.3mm (24.97 inches).

        How does tire size affect speedometer accuracy? ▼

        Speedometer Error % = ((New Diameter − Original Diameter) / Original Diameter) × 100. A tire 3% larger than stock makes the speedometer read 3% slow (showing 60 MPH when actually traveling 61.8 MPH). A tire 3% smaller reads 3% fast.

        What is plus-sizing for wheels and tires? ▼

        Plus-sizing increases wheel diameter while decreasing tire aspect ratio to maintain approximately the same overall diameter. Plus-1 means 1 inch larger wheel (e.g., 16 to 17 inches), plus-2 means 2 inches larger. Lower-profile tires improve handling but reduce ride comfort.

        How much tire size change is safe? ▼

        Most manufacturers and tire professionals recommend staying within ±3% of the original tire's overall diameter. Beyond 3%, speedometer error, ABS calibration, traction control, and stability systems may be affected enough to impact safety.

        What does the R in a tire size mean? ▼

        R indicates radial construction — the most common tire type today. The plies run radially (perpendicular to the direction of travel). Other codes include B (bias-belted) and D (diagonal/bias-ply), which are rare on modern passenger vehicles.

        How do I find equivalent tire sizes? ▼

        To find equivalents, maintain approximately the same overall diameter. If changing from 205/55R16 (632mm diameter) to 17-inch wheels, calculate: 632mm − (17 × 25.4 = 431.8mm) = 200.2mm available for sidewalls. Per side = 100.1mm. Aspect ratio = 100.1/205 × 100 ≈ 49. Closest standard: 205/50R17 (637mm).

        Does tire width affect fuel economy? ▼

        Yes. Wider tires have more contact area, which increases rolling resistance and reduces fuel economy by approximately 1-2% per 10mm of additional width. However, the effect varies with tire compound, tread pattern, and inflation pressure.

        What tire aspect ratio gives the best ride comfort? ▼

        Higher aspect ratios (55-70) provide more sidewall flex, absorbing bumps and providing a smoother ride. Lower aspect ratios (30-45) transmit more road imperfections to the cabin but improve steering precision. For comfort-focused vehicles, stay at 55+ aspect ratio.

        How do I read an off-road tire size like 33×12.5R15? ▼

        This format is simpler: 33 is the overall diameter in inches, 12.5 is the width in inches, and 15 is the wheel diameter in inches. The aspect ratio is implicit: Sidewall = (33 − 15) / 2 = 9 inches. Aspect ratio equivalent ≈ 9/12.5 × 100 = 72%.

        比率の理論を学ぶ

        比率とは具体的に何ですか?

        比率とは、2つ以上の数量の大きさを互いに比較して相対的な割合を表した数値です。記号では A : B のように表し、「Aの量に対してBの量が対応する」という相互関係を意味します。例えば、3 : 4 の比率は、Aが3つ分配されるときBは4つマッチするという正比例関係を持ちます。料理、工学設計、財務分析など日常のあらゆる場面で使われます。

        比例式はどのように解きますか?

        比例式は、2つの比率の値が等しいことを表す等式です(A : B = C : D)。外項の積(A × D)と内項 of 積(B × C)は常に等しくなります。未知数 D を求めるには、内項の積を求め、それをもう一方の外項 A で割ります: D = (B × C) / A。当ツールの比例式解決モードに既知の3つの数値を入力すれば、未知数を即座に算出できます。

        比率はどのように簡単に整理しますか?

        2つの数値の最大公約数(GCD)を求めた後、両方の数値をその最大公約数で割って約分します。例えば 24 : 36 の場合、24と36の最大公約数が 12 なので、両方を 12 で割ると最も簡単な自然数の比である 2 : 3 になります。比率計算ツールがGCDの算出と約分を自動的に処理します。

        比率のスケーリングはいつ使用しますか?

        比率の関係を崩さずに全体の分量を増やしたり減らしたりするときに使用します。例えば、2 : 5 の割合の材料があるとき、両方に 3 を掛ければ 6 : 15 になり、同じ比重を保ったまま3倍の量の配合物を準備することができます。パン生地の容量変更や、図面の縮尺変更に欠かせません。

        比率と分数の違いは何ですか?

        比率(A : B)は同等の要素同士の大きさの比較(部分対部分)に適しており、分数(A/B)は全体の中である要素が占める割合(部分対全体)を表現することが多いです。ただし、比率 3 : 4 も分数 3/4(小数で0.75)として表現できます。使われる文脈や意味合いにおいてニュアンスの違いがあります。