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Finding the Fourth Proportional to 183.98, 276.01 and 75.85

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Solution

The fourth proportional to 183.98, 276.01 and 75.85 is: 113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.98 : 276.01 = 75.85 : x
  2. Step 2: Convert to fraction form
    183.98/276.01 = 75.85/x
  3. Step 3: Cross multiply
    183.98x = 276.01 × 75.85
  4. Step 4: Simplify right side
    183.98x = 20,934.48
  5. Step 5: Solve for x
    x = 20,934.48/183.98
  6. Step 6: Final answer
    x = 113.79

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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.