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Finding the Fourth Proportional to 232.50, 323.08 and 229.97

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Solution

The fourth proportional to 232.50, 323.08 and 229.97 is: 319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 323.08 = 229.97 : x
  2. Step 2: Convert to fraction form
    232.50/323.08 = 229.97/x
  3. Step 3: Cross multiply
    232.50x = 323.08 × 229.97
  4. Step 4: Simplify right side
    232.50x = 74,299.59
  5. Step 5: Solve for x
    x = 74,299.59/232.50
  6. Step 6: Final answer
    x = 319.56

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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.