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Finding the Fourth Proportional to 220.92, 329.07 and 211.11

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Solution

The fourth proportional to 220.92, 329.07 and 211.11 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.92 : 329.07 = 211.11 : x
  2. Step 2: Convert to fraction form
    220.92/329.07 = 211.11/x
  3. Step 3: Cross multiply
    220.92x = 329.07 × 211.11
  4. Step 4: Simplify right side
    220.92x = 69,469.97
  5. Step 5: Solve for x
    x = 69,469.97/220.92
  6. Step 6: Final answer
    x = 314.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.