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Finding the Fourth Proportional to 366.98, 550.67 and 123.57

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Solution

The fourth proportional to 366.98, 550.67 and 123.57 is: 185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.98 : 550.67 = 123.57 : x
  2. Step 2: Convert to fraction form
    366.98/550.67 = 123.57/x
  3. Step 3: Cross multiply
    366.98x = 550.67 × 123.57
  4. Step 4: Simplify right side
    366.98x = 68,045.67
  5. Step 5: Solve for x
    x = 68,045.67/366.98
  6. Step 6: Final answer
    x = 185.42

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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.