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Finding the Fourth Proportional to 159.80, 240.92 and 144.14

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Solution

The fourth proportional to 159.80, 240.92 and 144.14 is: 217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.80 : 240.92 = 144.14 : x
  2. Step 2: Convert to fraction form
    159.80/240.92 = 144.14/x
  3. Step 3: Cross multiply
    159.80x = 240.92 × 144.14
  4. Step 4: Simplify right side
    159.80x = 34,726.21
  5. Step 5: Solve for x
    x = 34,726.21/159.80
  6. Step 6: Final answer
    x = 217.31

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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.