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Finding the Fourth Proportional to 399.20, 550.88 and 224.54

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Solution

The fourth proportional to 399.20, 550.88 and 224.54 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.20 : 550.88 = 224.54 : x
  2. Step 2: Convert to fraction form
    399.20/550.88 = 224.54/x
  3. Step 3: Cross multiply
    399.20x = 550.88 × 224.54
  4. Step 4: Simplify right side
    399.20x = 123,694.60
  5. Step 5: Solve for x
    x = 123,694.60/399.20
  6. Step 6: Final answer
    x = 309.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.