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Finding the Fourth Proportional to 141.50, 196.31 and 140.15

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Solution

The fourth proportional to 141.50, 196.31 and 140.15 is: 194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.50 : 196.31 = 140.15 : x
  2. Step 2: Convert to fraction form
    141.50/196.31 = 140.15/x
  3. Step 3: Cross multiply
    141.50x = 196.31 × 140.15
  4. Step 4: Simplify right side
    141.50x = 27,513.69
  5. Step 5: Solve for x
    x = 27,513.69/141.50
  6. Step 6: Final answer
    x = 194.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.