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Finding the Fourth Proportional to 398.72, 550.25 and 224.08

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Solution

The fourth proportional to 398.72, 550.25 and 224.08 is: 309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.72 : 550.25 = 224.08 : x
  2. Step 2: Convert to fraction form
    398.72/550.25 = 224.08/x
  3. Step 3: Cross multiply
    398.72x = 550.25 × 224.08
  4. Step 4: Simplify right side
    398.72x = 123,299.20
  5. Step 5: Solve for x
    x = 123,299.20/398.72
  6. Step 6: Final answer
    x = 309.24

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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.