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Finding the Fourth Proportional to 408.80, 564.13 and 222.29

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Solution

The fourth proportional to 408.80, 564.13 and 222.29 is: 306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 564.13 = 222.29 : x
  2. Step 2: Convert to fraction form
    408.80/564.13 = 222.29/x
  3. Step 3: Cross multiply
    408.80x = 564.13 × 222.29
  4. Step 4: Simplify right side
    408.80x = 125,400.46
  5. Step 5: Solve for x
    x = 125,400.46/408.80
  6. Step 6: Final answer
    x = 306.75

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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.