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Finding the Fourth Proportional to 367.30, 550.90 and 123.80

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Solution

The fourth proportional to 367.30, 550.90 and 123.80 is: 185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.30 : 550.90 = 123.80 : x
  2. Step 2: Convert to fraction form
    367.30/550.90 = 123.80/x
  3. Step 3: Cross multiply
    367.30x = 550.90 × 123.80
  4. Step 4: Simplify right side
    367.30x = 68,198.82
  5. Step 5: Solve for x
    x = 68,198.82/367.30
  6. Step 6: Final answer
    x = 185.68

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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.