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Finding the Fourth Proportional to 111.89, 166.74 and 108.22

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Solution

The fourth proportional to 111.89, 166.74 and 108.22 is: 161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.89 : 166.74 = 108.22 : x
  2. Step 2: Convert to fraction form
    111.89/166.74 = 108.22/x
  3. Step 3: Cross multiply
    111.89x = 166.74 × 108.22
  4. Step 4: Simplify right side
    111.89x = 18,044.06
  5. Step 5: Solve for x
    x = 18,044.06/111.89
  6. Step 6: Final answer
    x = 161.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.