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Finding the Fourth Proportional to 148.31, 221.77 and 132.15

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Solution

The fourth proportional to 148.31, 221.77 and 132.15 is: 197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.31 : 221.77 = 132.15 : x
  2. Step 2: Convert to fraction form
    148.31/221.77 = 132.15/x
  3. Step 3: Cross multiply
    148.31x = 221.77 × 132.15
  4. Step 4: Simplify right side
    148.31x = 29,306.24
  5. Step 5: Solve for x
    x = 29,306.24/148.31
  6. Step 6: Final answer
    x = 197.61

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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.