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Finding the Fourth Proportional to 399.30, 550.98 and 224.64

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Solution

The fourth proportional to 399.30, 550.98 and 224.64 is: 309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 550.98 = 224.64 : x
  2. Step 2: Convert to fraction form
    399.30/550.98 = 224.64/x
  3. Step 3: Cross multiply
    399.30x = 550.98 × 224.64
  4. Step 4: Simplify right side
    399.30x = 123,772.15
  5. Step 5: Solve for x
    x = 123,772.15/399.30
  6. Step 6: Final answer
    x = 309.97

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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.