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Finding the Fourth Proportional to 367.22, 550.91 and 123.91

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Solution

The fourth proportional to 367.22, 550.91 and 123.91 is: 185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.22 : 550.91 = 123.91 : x
  2. Step 2: Convert to fraction form
    367.22/550.91 = 123.91/x
  3. Step 3: Cross multiply
    367.22x = 550.91 × 123.91
  4. Step 4: Simplify right side
    367.22x = 68,262.19
  5. Step 5: Solve for x
    x = 68,262.19/367.22
  6. Step 6: Final answer
    x = 185.89

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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.