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Finding the Fourth Proportional to 408.86, 564.22 and 222.36

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Solution

The fourth proportional to 408.86, 564.22 and 222.36 is: 306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.86 : 564.22 = 222.36 : x
  2. Step 2: Convert to fraction form
    408.86/564.22 = 222.36/x
  3. Step 3: Cross multiply
    408.86x = 564.22 × 222.36
  4. Step 4: Simplify right side
    408.86x = 125,457.66
  5. Step 5: Solve for x
    x = 125,457.66/408.86
  6. Step 6: Final answer
    x = 306.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.