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Finding the Fourth Proportional to 232.16, 350.24 and 220.76

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Solution

The fourth proportional to 232.16, 350.24 and 220.76 is: 333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.16 : 350.24 = 220.76 : x
  2. Step 2: Convert to fraction form
    232.16/350.24 = 220.76/x
  3. Step 3: Cross multiply
    232.16x = 350.24 × 220.76
  4. Step 4: Simplify right side
    232.16x = 77,318.98
  5. Step 5: Solve for x
    x = 77,318.98/232.16
  6. Step 6: Final answer
    x = 333.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.