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Finding the Fourth Proportional to 129.73, 193.17 and 118.84

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Solution

The fourth proportional to 129.73, 193.17 and 118.84 is: 176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.73 : 193.17 = 118.84 : x
  2. Step 2: Convert to fraction form
    129.73/193.17 = 118.84/x
  3. Step 3: Cross multiply
    129.73x = 193.17 × 118.84
  4. Step 4: Simplify right side
    129.73x = 22,956.32
  5. Step 5: Solve for x
    x = 22,956.32/129.73
  6. Step 6: Final answer
    x = 176.95

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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.