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Finding the Fourth Proportional to 111.26, 167.80 and 110.11

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Solution

The fourth proportional to 111.26, 167.80 and 110.11 is: 166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.26 : 167.80 = 110.11 : x
  2. Step 2: Convert to fraction form
    111.26/167.80 = 110.11/x
  3. Step 3: Cross multiply
    111.26x = 167.80 × 110.11
  4. Step 4: Simplify right side
    111.26x = 18,476.46
  5. Step 5: Solve for x
    x = 18,476.46/111.26
  6. Step 6: Final answer
    x = 166.07

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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.