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Finding the Fourth Proportional to 415.20, 572.76 and 337.44

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Solution

The fourth proportional to 415.20, 572.76 and 337.44 is: 465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 572.76 = 337.44 : x
  2. Step 2: Convert to fraction form
    415.20/572.76 = 337.44/x
  3. Step 3: Cross multiply
    415.20x = 572.76 × 337.44
  4. Step 4: Simplify right side
    415.20x = 193,272.13
  5. Step 5: Solve for x
    x = 193,272.13/415.20
  6. Step 6: Final answer
    x = 465.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.