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Finding the Fourth Proportional to 399.07, 550.72 and 224.43

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Solution

The fourth proportional to 399.07, 550.72 and 224.43 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.07 : 550.72 = 224.43 : x
  2. Step 2: Convert to fraction form
    399.07/550.72 = 224.43/x
  3. Step 3: Cross multiply
    399.07x = 550.72 × 224.43
  4. Step 4: Simplify right side
    399.07x = 123,598.09
  5. Step 5: Solve for x
    x = 123,598.09/399.07
  6. Step 6: Final answer
    x = 309.72

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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.