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Finding the Fourth Proportional to 144.20, 217.18 and 131.71

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Solution

The fourth proportional to 144.20, 217.18 and 131.71 is: 198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.20 : 217.18 = 131.71 : x
  2. Step 2: Convert to fraction form
    144.20/217.18 = 131.71/x
  3. Step 3: Cross multiply
    144.20x = 217.18 × 131.71
  4. Step 4: Simplify right side
    144.20x = 28,604.78
  5. Step 5: Solve for x
    x = 28,604.78/144.20
  6. Step 6: Final answer
    x = 198.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.