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Finding the Fourth Proportional to 408.83, 564.17 and 222.31

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Solution

The fourth proportional to 408.83, 564.17 and 222.31 is: 306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.83 : 564.17 = 222.31 : x
  2. Step 2: Convert to fraction form
    408.83/564.17 = 222.31/x
  3. Step 3: Cross multiply
    408.83x = 564.17 × 222.31
  4. Step 4: Simplify right side
    408.83x = 125,422.60
  5. Step 5: Solve for x
    x = 125,422.60/408.83
  6. Step 6: Final answer
    x = 306.79

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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.