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Finding the Fourth Proportional to 183.88, 275.88 and 81.22

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Solution

The fourth proportional to 183.88, 275.88 and 81.22 is: 121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.88 : 275.88 = 81.22 : x
  2. Step 2: Convert to fraction form
    183.88/275.88 = 81.22/x
  3. Step 3: Cross multiply
    183.88x = 275.88 × 81.22
  4. Step 4: Simplify right side
    183.88x = 22,406.97
  5. Step 5: Solve for x
    x = 22,406.97/183.88
  6. Step 6: Final answer
    x = 121.86

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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.