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Finding the Fourth Proportional to 232.60, 323.20 and 229.69

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Solution

The fourth proportional to 232.60, 323.20 and 229.69 is: 319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.60 : 323.20 = 229.69 : x
  2. Step 2: Convert to fraction form
    232.60/323.20 = 229.69/x
  3. Step 3: Cross multiply
    232.60x = 323.20 × 229.69
  4. Step 4: Simplify right side
    232.60x = 74,235.81
  5. Step 5: Solve for x
    x = 74,235.81/232.60
  6. Step 6: Final answer
    x = 319.16

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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.