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Finding the Fourth Proportional to 367.44, 550.86 and 123.90

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Solution

The fourth proportional to 367.44, 550.86 and 123.90 is: 185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.44 : 550.86 = 123.90 : x
  2. Step 2: Convert to fraction form
    367.44/550.86 = 123.90/x
  3. Step 3: Cross multiply
    367.44x = 550.86 × 123.90
  4. Step 4: Simplify right side
    367.44x = 68,251.55
  5. Step 5: Solve for x
    x = 68,251.55/367.44
  6. Step 6: Final answer
    x = 185.75

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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.