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Finding the Fourth Proportional to 141.80, 194.63 and 129.47

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Solution

The fourth proportional to 141.80, 194.63 and 129.47 is: 177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 194.63 = 129.47 : x
  2. Step 2: Convert to fraction form
    141.80/194.63 = 129.47/x
  3. Step 3: Cross multiply
    141.80x = 194.63 × 129.47
  4. Step 4: Simplify right side
    141.80x = 25,197.13
  5. Step 5: Solve for x
    x = 25,197.13/141.80
  6. Step 6: Final answer
    x = 177.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.