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Finding the Fourth Proportional to 415.40, 566.24 and 415.40

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Solution

The fourth proportional to 415.40, 566.24 and 415.40 is: 566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 566.24 = 415.40 : x
  2. Step 2: Convert to fraction form
    415.40/566.24 = 415.40/x
  3. Step 3: Cross multiply
    415.40x = 566.24 × 415.40
  4. Step 4: Simplify right side
    415.40x = 235,216.10
  5. Step 5: Solve for x
    x = 235,216.10/415.40
  6. Step 6: Final answer
    x = 566.24

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.