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Finding the Fourth Proportional to 148.31, 221.17 and 144.82

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Solution

The fourth proportional to 148.31, 221.17 and 144.82 is: 215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.31 : 221.17 = 144.82 : x
  2. Step 2: Convert to fraction form
    148.31/221.17 = 144.82/x
  3. Step 3: Cross multiply
    148.31x = 221.17 × 144.82
  4. Step 4: Simplify right side
    148.31x = 32,028.73
  5. Step 5: Solve for x
    x = 32,028.73/148.31
  6. Step 6: Final answer
    x = 215.96

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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.