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Finding the Fourth Proportional to 148.38, 221.48 and 129.29

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Solution

The fourth proportional to 148.38, 221.48 and 129.29 is: 192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.38 : 221.48 = 129.29 : x
  2. Step 2: Convert to fraction form
    148.38/221.48 = 129.29/x
  3. Step 3: Cross multiply
    148.38x = 221.48 × 129.29
  4. Step 4: Simplify right side
    148.38x = 28,633.40
  5. Step 5: Solve for x
    x = 28,633.40/148.38
  6. Step 6: Final answer
    x = 192.97

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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.