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Finding the Fourth Proportional to 111.33, 167.13 and 110.18

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Solution

The fourth proportional to 111.33, 167.13 and 110.18 is: 165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.33 : 167.13 = 110.18 : x
  2. Step 2: Convert to fraction form
    111.33/167.13 = 110.18/x
  3. Step 3: Cross multiply
    111.33x = 167.13 × 110.18
  4. Step 4: Simplify right side
    111.33x = 18,414.38
  5. Step 5: Solve for x
    x = 18,414.38/111.33
  6. Step 6: Final answer
    x = 165.40

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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.