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Finding the Fourth Proportional to 154.97, 232.44 and 148.29

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Solution

The fourth proportional to 154.97, 232.44 and 148.29 is: 222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 232.44 = 148.29 : x
  2. Step 2: Convert to fraction form
    154.97/232.44 = 148.29/x
  3. Step 3: Cross multiply
    154.97x = 232.44 × 148.29
  4. Step 4: Simplify right side
    154.97x = 34,468.53
  5. Step 5: Solve for x
    x = 34,468.53/154.97
  6. Step 6: Final answer
    x = 222.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.