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Finding the Fourth Proportional to 331, 496.36 and 138.52

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Solution

The fourth proportional to 331, 496.36 and 138.52 is: 207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331 : 496.36 = 138.52 : x
  2. Step 2: Convert to fraction form
    331/496.36 = 138.52/x
  3. Step 3: Cross multiply
    331x = 496.36 × 138.52
  4. Step 4: Simplify right side
    331x = 68,755.79
  5. Step 5: Solve for x
    x = 68,755.79/331
  6. Step 6: Final answer
    x = 207.72

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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.