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Finding the Fourth Proportional to 141.49, 211.81 and 86.50

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Solution

The fourth proportional to 141.49, 211.81 and 86.50 is: 129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.49 : 211.81 = 86.50 : x
  2. Step 2: Convert to fraction form
    141.49/211.81 = 86.50/x
  3. Step 3: Cross multiply
    141.49x = 211.81 × 86.50
  4. Step 4: Simplify right side
    141.49x = 18,321.13
  5. Step 5: Solve for x
    x = 18,321.13/141.49
  6. Step 6: Final answer
    x = 129.49

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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.