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Finding the Fourth Proportional to 232.14, 319.77 and 169.80

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Solution

The fourth proportional to 232.14, 319.77 and 169.80 is: 233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.14 : 319.77 = 169.80 : x
  2. Step 2: Convert to fraction form
    232.14/319.77 = 169.80/x
  3. Step 3: Cross multiply
    232.14x = 319.77 × 169.80
  4. Step 4: Simplify right side
    232.14x = 54,296.95
  5. Step 5: Solve for x
    x = 54,296.95/232.14
  6. Step 6: Final answer
    x = 233.90

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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.