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Finding the Fourth Proportional to 232.78, 321.10 and 149.92

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Solution

The fourth proportional to 232.78, 321.10 and 149.92 is: 206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 321.10 = 149.92 : x
  2. Step 2: Convert to fraction form
    232.78/321.10 = 149.92/x
  3. Step 3: Cross multiply
    232.78x = 321.10 × 149.92
  4. Step 4: Simplify right side
    232.78x = 48,138.13
  5. Step 5: Solve for x
    x = 48,138.13/232.78
  6. Step 6: Final answer
    x = 206.79

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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.