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Finding the Fourth Proportional to 141.38, 194.34 and 108.57

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Solution

The fourth proportional to 141.38, 194.34 and 108.57 is: 149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.38 : 194.34 = 108.57 : x
  2. Step 2: Convert to fraction form
    141.38/194.34 = 108.57/x
  3. Step 3: Cross multiply
    141.38x = 194.34 × 108.57
  4. Step 4: Simplify right side
    141.38x = 21,099.49
  5. Step 5: Solve for x
    x = 21,099.49/141.38
  6. Step 6: Final answer
    x = 149.24

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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.