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Finding the Fourth Proportional to 218.27, 327.17 and 81.23

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Solution

The fourth proportional to 218.27, 327.17 and 81.23 is: 121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.27 : 327.17 = 81.23 : x
  2. Step 2: Convert to fraction form
    218.27/327.17 = 81.23/x
  3. Step 3: Cross multiply
    218.27x = 327.17 × 81.23
  4. Step 4: Simplify right side
    218.27x = 26,574.59
  5. Step 5: Solve for x
    x = 26,574.59/218.27
  6. Step 6: Final answer
    x = 121.75

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