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Finding the Fourth Proportional to 140.96, 211.02 and 86.69

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Solution

The fourth proportional to 140.96, 211.02 and 86.69 is: 129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 211.02 = 86.69 : x
  2. Step 2: Convert to fraction form
    140.96/211.02 = 86.69/x
  3. Step 3: Cross multiply
    140.96x = 211.02 × 86.69
  4. Step 4: Simplify right side
    140.96x = 18,292.27
  5. Step 5: Solve for x
    x = 18,292.27/140.96
  6. Step 6: Final answer
    x = 129.77

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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.