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Finding the Fourth Proportional to 415.24, 572.69 and 353.27

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Solution

The fourth proportional to 415.24, 572.69 and 353.27 is: 487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 572.69 = 353.27 : x
  2. Step 2: Convert to fraction form
    415.24/572.69 = 353.27/x
  3. Step 3: Cross multiply
    415.24x = 572.69 × 353.27
  4. Step 4: Simplify right side
    415.24x = 202,314.20
  5. Step 5: Solve for x
    x = 202,314.20/415.24
  6. Step 6: Final answer
    x = 487.23

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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.