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Finding the Fourth Proportional to 463.38, 694.62 and 257.76

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Solution

The fourth proportional to 463.38, 694.62 and 257.76 is: 386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.38 : 694.62 = 257.76 : x
  2. Step 2: Convert to fraction form
    463.38/694.62 = 257.76/x
  3. Step 3: Cross multiply
    463.38x = 694.62 × 257.76
  4. Step 4: Simplify right side
    463.38x = 179,045.25
  5. Step 5: Solve for x
    x = 179,045.25/463.38
  6. Step 6: Final answer
    x = 386.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.