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Finding the Fourth Proportional to 183.75, 275.49 and 81.09

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Solution

The fourth proportional to 183.75, 275.49 and 81.09 is: 121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.75 : 275.49 = 81.09 : x
  2. Step 2: Convert to fraction form
    183.75/275.49 = 81.09/x
  3. Step 3: Cross multiply
    183.75x = 275.49 × 81.09
  4. Step 4: Simplify right side
    183.75x = 22,339.48
  5. Step 5: Solve for x
    x = 22,339.48/183.75
  6. Step 6: Final answer
    x = 121.58

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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.