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Finding the Fourth Proportional to 408.77, 564.10 and 222.26

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Solution

The fourth proportional to 408.77, 564.10 and 222.26 is: 306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.77 : 564.10 = 222.26 : x
  2. Step 2: Convert to fraction form
    408.77/564.10 = 222.26/x
  3. Step 3: Cross multiply
    408.77x = 564.10 × 222.26
  4. Step 4: Simplify right side
    408.77x = 125,376.87
  5. Step 5: Solve for x
    x = 125,376.87/408.77
  6. Step 6: Final answer
    x = 306.72

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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.