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Finding the Fourth Proportional to 140.27, 209.81 and 131.63

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Solution

The fourth proportional to 140.27, 209.81 and 131.63 is: 196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.27 : 209.81 = 131.63 : x
  2. Step 2: Convert to fraction form
    140.27/209.81 = 131.63/x
  3. Step 3: Cross multiply
    140.27x = 209.81 × 131.63
  4. Step 4: Simplify right side
    140.27x = 27,616.57
  5. Step 5: Solve for x
    x = 27,616.57/140.27
  6. Step 6: Final answer
    x = 196.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.