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Finding the Fourth Proportional to 154.17, 232.42 and 132.68

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Solution

The fourth proportional to 154.17, 232.42 and 132.68 is: 200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.17 : 232.42 = 132.68 : x
  2. Step 2: Convert to fraction form
    154.17/232.42 = 132.68/x
  3. Step 3: Cross multiply
    154.17x = 232.42 × 132.68
  4. Step 4: Simplify right side
    154.17x = 30,835.66
  5. Step 5: Solve for x
    x = 30,835.66/154.17
  6. Step 6: Final answer
    x = 200.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.