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Finding the Fourth Proportional to 462.69, 638.51 and 252.87

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Solution

The fourth proportional to 462.69, 638.51 and 252.87 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 638.51 = 252.87 : x
  2. Step 2: Convert to fraction form
    462.69/638.51 = 252.87/x
  3. Step 3: Cross multiply
    462.69x = 638.51 × 252.87
  4. Step 4: Simplify right side
    462.69x = 161,458.76
  5. Step 5: Solve for x
    x = 161,458.76/462.69
  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.