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Finding the Fourth Proportional to 234.97, 325.60 and 232.16

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Solution

The fourth proportional to 234.97, 325.60 and 232.16 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.97 : 325.60 = 232.16 : x
  2. Step 2: Convert to fraction form
    234.97/325.60 = 232.16/x
  3. Step 3: Cross multiply
    234.97x = 325.60 × 232.16
  4. Step 4: Simplify right side
    234.97x = 75,589.09
  5. Step 5: Solve for x
    x = 75,589.09/234.97
  6. Step 6: Final answer
    x = 321.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.