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Finding the Fourth Proportional to 232.75, 320.56 and 216.61

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Solution

The fourth proportional to 232.75, 320.56 and 216.61 is: 298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.75 : 320.56 = 216.61 : x
  2. Step 2: Convert to fraction form
    232.75/320.56 = 216.61/x
  3. Step 3: Cross multiply
    232.75x = 320.56 × 216.61
  4. Step 4: Simplify right side
    232.75x = 69,436.50
  5. Step 5: Solve for x
    x = 69,436.50/232.75
  6. Step 6: Final answer
    x = 298.33

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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.