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Finding the Fourth Proportional to 141.47, 194.89 and 115.17

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Solution

The fourth proportional to 141.47, 194.89 and 115.17 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 194.89 = 115.17 : x
  2. Step 2: Convert to fraction form
    141.47/194.89 = 115.17/x
  3. Step 3: Cross multiply
    141.47x = 194.89 × 115.17
  4. Step 4: Simplify right side
    141.47x = 22,443.93
  5. Step 5: Solve for x
    x = 22,443.93/141.47
  6. Step 6: Final answer
    x = 158.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.