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Finding the Fourth Proportional to 462.68, 638.49 and 252.87

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Solution

The fourth proportional to 462.68, 638.49 and 252.87 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.68 : 638.49 = 252.87 : x
  2. Step 2: Convert to fraction form
    462.68/638.49 = 252.87/x
  3. Step 3: Cross multiply
    462.68x = 638.49 × 252.87
  4. Step 4: Simplify right side
    462.68x = 161,454.97
  5. Step 5: Solve for x
    x = 161,454.97/462.68
  6. Step 6: Final answer
    x = 348.96

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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.