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Finding the Fourth Proportional to 462.48, 638.23 and 252.66

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Solution

The fourth proportional to 462.48, 638.23 and 252.66 is: 348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.48 : 638.23 = 252.66 : x
  2. Step 2: Convert to fraction form
    462.48/638.23 = 252.66/x
  3. Step 3: Cross multiply
    462.48x = 638.23 × 252.66
  4. Step 4: Simplify right side
    462.48x = 161,257.78
  5. Step 5: Solve for x
    x = 161,257.78/462.48
  6. Step 6: Final answer
    x = 348.68

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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.