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Finding the Fourth Proportional to 220.74, 333.11 and 213.90

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Solution

The fourth proportional to 220.74, 333.11 and 213.90 is: 322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.74 : 333.11 = 213.90 : x
  2. Step 2: Convert to fraction form
    220.74/333.11 = 213.90/x
  3. Step 3: Cross multiply
    220.74x = 333.11 × 213.90
  4. Step 4: Simplify right side
    220.74x = 71,251.16
  5. Step 5: Solve for x
    x = 71,251.16/220.74
  6. Step 6: Final answer
    x = 322.78

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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.