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Finding the Fourth Proportional to 220.27, 329.64 and 133.56

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Solution

The fourth proportional to 220.27, 329.64 and 133.56 is: 199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.27 : 329.64 = 133.56 : x
  2. Step 2: Convert to fraction form
    220.27/329.64 = 133.56/x
  3. Step 3: Cross multiply
    220.27x = 329.64 × 133.56
  4. Step 4: Simplify right side
    220.27x = 44,025.07
  5. Step 5: Solve for x
    x = 44,025.07/220.27
  6. Step 6: Final answer
    x = 199.87

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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.