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Finding the Fourth Proportional to 399.21, 550.89 and 224.58

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Solution

The fourth proportional to 399.21, 550.89 and 224.58 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.21 : 550.89 = 224.58 : x
  2. Step 2: Convert to fraction form
    399.21/550.89 = 224.58/x
  3. Step 3: Cross multiply
    399.21x = 550.89 × 224.58
  4. Step 4: Simplify right side
    399.21x = 123,718.88
  5. Step 5: Solve for x
    x = 123,718.88/399.21
  6. Step 6: Final answer
    x = 309.91

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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.