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Finding the Fourth Proportional to 141, 194.75 and 129.47

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Solution

The fourth proportional to 141, 194.75 and 129.47 is: 178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141 : 194.75 = 129.47 : x
  2. Step 2: Convert to fraction form
    141/194.75 = 129.47/x
  3. Step 3: Cross multiply
    141x = 194.75 × 129.47
  4. Step 4: Simplify right side
    141x = 25,212.66
  5. Step 5: Solve for x
    x = 25,212.66/141
  6. Step 6: Final answer
    x = 178.81

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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.