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Finding the Fourth Proportional to 148.20, 221.33 and 129

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Solution

The fourth proportional to 148.20, 221.33 and 129 is: 192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.20 : 221.33 = 129 : x
  2. Step 2: Convert to fraction form
    148.20/221.33 = 129/x
  3. Step 3: Cross multiply
    148.20x = 221.33 × 129
  4. Step 4: Simplify right side
    148.20x = 28,551.57
  5. Step 5: Solve for x
    x = 28,551.57/148.20
  6. Step 6: Final answer
    x = 192.66

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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.