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Finding the Fourth Proportional to 408.71, 564.02 and 222.20

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Solution

The fourth proportional to 408.71, 564.02 and 222.20 is: 306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.71 : 564.02 = 222.20 : x
  2. Step 2: Convert to fraction form
    408.71/564.02 = 222.20/x
  3. Step 3: Cross multiply
    408.71x = 564.02 × 222.20
  4. Step 4: Simplify right side
    408.71x = 125,321.31
  5. Step 5: Solve for x
    x = 125,321.31/408.71
  6. Step 6: Final answer
    x = 306.63

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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.