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Finding the Fourth Proportional to 146.92, 221.21 and 111.16

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Solution

The fourth proportional to 146.92, 221.21 and 111.16 is: 167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.92 : 221.21 = 111.16 : x
  2. Step 2: Convert to fraction form
    146.92/221.21 = 111.16/x
  3. Step 3: Cross multiply
    146.92x = 221.21 × 111.16
  4. Step 4: Simplify right side
    146.92x = 24,589.70
  5. Step 5: Solve for x
    x = 24,589.70/146.92
  6. Step 6: Final answer
    x = 167.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.