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Finding the Fourth Proportional to 141.38, 194.92 and 104.47

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Solution

The fourth proportional to 141.38, 194.92 and 104.47 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.38 : 194.92 = 104.47 : x
  2. Step 2: Convert to fraction form
    141.38/194.92 = 104.47/x
  3. Step 3: Cross multiply
    141.38x = 194.92 × 104.47
  4. Step 4: Simplify right side
    141.38x = 20,363.09
  5. Step 5: Solve for x
    x = 20,363.09/141.38
  6. Step 6: Final answer
    x = 144.04

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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.