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Finding the Fourth Proportional to 232.79, 322.92 and 220.49

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Solution

The fourth proportional to 232.79, 322.92 and 220.49 is: 305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.79 : 322.92 = 220.49 : x
  2. Step 2: Convert to fraction form
    232.79/322.92 = 220.49/x
  3. Step 3: Cross multiply
    232.79x = 322.92 × 220.49
  4. Step 4: Simplify right side
    232.79x = 71,199.02
  5. Step 5: Solve for x
    x = 71,199.02/232.79
  6. Step 6: Final answer
    x = 305.86

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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.