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Finding the Fourth Proportional to 232.68, 320.25 and 185.91

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Solution

The fourth proportional to 232.68, 320.25 and 185.91 is: 255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.68 : 320.25 = 185.91 : x
  2. Step 2: Convert to fraction form
    232.68/320.25 = 185.91/x
  3. Step 3: Cross multiply
    232.68x = 320.25 × 185.91
  4. Step 4: Simplify right side
    232.68x = 59,537.68
  5. Step 5: Solve for x
    x = 59,537.68/232.68
  6. Step 6: Final answer
    x = 255.88

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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.