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Finding the Fourth Proportional to 232.69, 321.13 and 155.01

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Solution

The fourth proportional to 232.69, 321.13 and 155.01 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 321.13 = 155.01 : x
  2. Step 2: Convert to fraction form
    232.69/321.13 = 155.01/x
  3. Step 3: Cross multiply
    232.69x = 321.13 × 155.01
  4. Step 4: Simplify right side
    232.69x = 49,777.59
  5. Step 5: Solve for x
    x = 49,777.59/232.69
  6. Step 6: Final answer
    x = 213.92

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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.