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Finding the Fourth Proportional to 232.12, 321.59 and 226.48

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Solution

The fourth proportional to 232.12, 321.59 and 226.48 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.12 : 321.59 = 226.48 : x
  2. Step 2: Convert to fraction form
    232.12/321.59 = 226.48/x
  3. Step 3: Cross multiply
    232.12x = 321.59 × 226.48
  4. Step 4: Simplify right side
    232.12x = 72,833.70
  5. Step 5: Solve for x
    x = 72,833.70/232.12
  6. Step 6: Final answer
    x = 313.78

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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.