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Finding the Fourth Proportional to 154.20, 229.72 and 149.97

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Solution

The fourth proportional to 154.20, 229.72 and 149.97 is: 223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 229.72 = 149.97 : x
  2. Step 2: Convert to fraction form
    154.20/229.72 = 149.97/x
  3. Step 3: Cross multiply
    154.20x = 229.72 × 149.97
  4. Step 4: Simplify right side
    154.20x = 34,450.73
  5. Step 5: Solve for x
    x = 34,450.73/154.20
  6. Step 6: Final answer
    x = 223.42

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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.