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Finding the Fourth Proportional to 327.22, 490.92 and 110.95

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Solution

The fourth proportional to 327.22, 490.92 and 110.95 is: 166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.22 : 490.92 = 110.95 : x
  2. Step 2: Convert to fraction form
    327.22/490.92 = 110.95/x
  3. Step 3: Cross multiply
    327.22x = 490.92 × 110.95
  4. Step 4: Simplify right side
    327.22x = 54,467.57
  5. Step 5: Solve for x
    x = 54,467.57/327.22
  6. Step 6: Final answer
    x = 166.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.