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Finding the Fourth Proportional to 220.27, 329.92 and 200.93

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Solution

The fourth proportional to 220.27, 329.92 and 200.93 is: 300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.27 : 329.92 = 200.93 : x
  2. Step 2: Convert to fraction form
    220.27/329.92 = 200.93/x
  3. Step 3: Cross multiply
    220.27x = 329.92 × 200.93
  4. Step 4: Simplify right side
    220.27x = 66,291.66
  5. Step 5: Solve for x
    x = 66,291.66/220.27
  6. Step 6: Final answer
    x = 300.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.