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Finding the Fourth Proportional to 462.57, 638.36 and 252.75

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Solution

The fourth proportional to 462.57, 638.36 and 252.75 is: 348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.57 : 638.36 = 252.75 : x
  2. Step 2: Convert to fraction form
    462.57/638.36 = 252.75/x
  3. Step 3: Cross multiply
    462.57x = 638.36 × 252.75
  4. Step 4: Simplify right side
    462.57x = 161,345.49
  5. Step 5: Solve for x
    x = 161,345.49/462.57
  6. Step 6: Final answer
    x = 348.80

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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.