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Finding the Fourth Proportional to 415.18, 572.25 and 353.17

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Solution

The fourth proportional to 415.18, 572.25 and 353.17 is: 486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.18 : 572.25 = 353.17 : x
  2. Step 2: Convert to fraction form
    415.18/572.25 = 353.17/x
  3. Step 3: Cross multiply
    415.18x = 572.25 × 353.17
  4. Step 4: Simplify right side
    415.18x = 202,101.53
  5. Step 5: Solve for x
    x = 202,101.53/415.18
  6. Step 6: Final answer
    x = 486.78

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Why These Related Problems?

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