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Finding the Fourth Proportional to 232.79, 321.21 and 149.90

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Solution

The fourth proportional to 232.79, 321.21 and 149.90 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.79 : 321.21 = 149.90 : x
  2. Step 2: Convert to fraction form
    232.79/321.21 = 149.90/x
  3. Step 3: Cross multiply
    232.79x = 321.21 × 149.90
  4. Step 4: Simplify right side
    232.79x = 48,147.77
  5. Step 5: Solve for x
    x = 48,147.77/232.79
  6. Step 6: Final answer
    x = 206.83

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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.