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Finding the Fourth Proportional to 129.84, 193.82 and 114.47

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Solution

The fourth proportional to 129.84, 193.82 and 114.47 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.84 : 193.82 = 114.47 : x
  2. Step 2: Convert to fraction form
    129.84/193.82 = 114.47/x
  3. Step 3: Cross multiply
    129.84x = 193.82 × 114.47
  4. Step 4: Simplify right side
    129.84x = 22,185.61
  5. Step 5: Solve for x
    x = 22,185.61/129.84
  6. Step 6: Final answer
    x = 170.86

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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.