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Finding the Fourth Proportional to 232.32, 318.72 and 217.60

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Solution

The fourth proportional to 232.32, 318.72 and 217.60 is: 298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 318.72 = 217.60 : x
  2. Step 2: Convert to fraction form
    232.32/318.72 = 217.60/x
  3. Step 3: Cross multiply
    232.32x = 318.72 × 217.60
  4. Step 4: Simplify right side
    232.32x = 69,353.47
  5. Step 5: Solve for x
    x = 69,353.47/232.32
  6. Step 6: Final answer
    x = 298.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.