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Finding the Fourth Proportional to 414.57, 572.21 and 240.02

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Solution

The fourth proportional to 414.57, 572.21 and 240.02 is: 331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.57 : 572.21 = 240.02 : x
  2. Step 2: Convert to fraction form
    414.57/572.21 = 240.02/x
  3. Step 3: Cross multiply
    414.57x = 572.21 × 240.02
  4. Step 4: Simplify right side
    414.57x = 137,337.78
  5. Step 5: Solve for x
    x = 137,337.78/414.57
  6. Step 6: Final answer
    x = 331.28

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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.