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Finding the Fourth Proportional to 154.68, 232.32 and 129.15

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Solution

The fourth proportional to 154.68, 232.32 and 129.15 is: 193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.68 : 232.32 = 129.15 : x
  2. Step 2: Convert to fraction form
    154.68/232.32 = 129.15/x
  3. Step 3: Cross multiply
    154.68x = 232.32 × 129.15
  4. Step 4: Simplify right side
    154.68x = 30,004.13
  5. Step 5: Solve for x
    x = 30,004.13/154.68
  6. Step 6: Final answer
    x = 193.98

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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.