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Finding the Fourth Proportional to 414.11, 572.20 and 331.90

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Solution

The fourth proportional to 414.11, 572.20 and 331.90 is: 458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.11 : 572.20 = 331.90 : x
  2. Step 2: Convert to fraction form
    414.11/572.20 = 331.90/x
  3. Step 3: Cross multiply
    414.11x = 572.20 × 331.90
  4. Step 4: Simplify right side
    414.11x = 189,910.92
  5. Step 5: Solve for x
    x = 189,910.92/414.11
  6. Step 6: Final answer
    x = 458.60

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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.