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Finding the Fourth Proportional to 232.76, 321.10 and 144.21

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Solution

The fourth proportional to 232.76, 321.10 and 144.21 is: 198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.76 : 321.10 = 144.21 : x
  2. Step 2: Convert to fraction form
    232.76/321.10 = 144.21/x
  3. Step 3: Cross multiply
    232.76x = 321.10 × 144.21
  4. Step 4: Simplify right side
    232.76x = 46,306.34
  5. Step 5: Solve for x
    x = 46,306.34/232.76
  6. Step 6: Final answer
    x = 198.95

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Find fourth proportional to 116.38, 160.55 and 72.11
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.