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Finding the Fourth Proportional to 141.20, 211.52 and 80.24

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Solution

The fourth proportional to 141.20, 211.52 and 80.24 is: 120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.20 : 211.52 = 80.24 : x
  2. Step 2: Convert to fraction form
    141.20/211.52 = 80.24/x
  3. Step 3: Cross multiply
    141.20x = 211.52 × 80.24
  4. Step 4: Simplify right side
    141.20x = 16,972.36
  5. Step 5: Solve for x
    x = 16,972.36/141.20
  6. Step 6: Final answer
    x = 120.20

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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.