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Finding the Fourth Proportional to 141.91, 196.66 and 140.17

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Solution

The fourth proportional to 141.91, 196.66 and 140.17 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.91 : 196.66 = 140.17 : x
  2. Step 2: Convert to fraction form
    141.91/196.66 = 140.17/x
  3. Step 3: Cross multiply
    141.91x = 196.66 × 140.17
  4. Step 4: Simplify right side
    141.91x = 27,565.83
  5. Step 5: Solve for x
    x = 27,565.83/141.91
  6. Step 6: Final answer
    x = 194.25

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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.