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Finding the Fourth Proportional to 148.30, 221.24 and 132.90

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Solution

The fourth proportional to 148.30, 221.24 and 132.90 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.30 : 221.24 = 132.90 : x
  2. Step 2: Convert to fraction form
    148.30/221.24 = 132.90/x
  3. Step 3: Cross multiply
    148.30x = 221.24 × 132.90
  4. Step 4: Simplify right side
    148.30x = 29,402.80
  5. Step 5: Solve for x
    x = 29,402.80/148.30
  6. Step 6: Final answer
    x = 198.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.