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Finding the Fourth Proportional to 141.57, 194.10 and 141.34

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Solution

The fourth proportional to 141.57, 194.10 and 141.34 is: 193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.57 : 194.10 = 141.34 : x
  2. Step 2: Convert to fraction form
    141.57/194.10 = 141.34/x
  3. Step 3: Cross multiply
    141.57x = 194.10 × 141.34
  4. Step 4: Simplify right side
    141.57x = 27,434.23
  5. Step 5: Solve for x
    x = 27,434.23/141.57
  6. Step 6: Final answer
    x = 193.79

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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.