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Finding the Fourth Proportional to 112.30, 167.26 and 111.04

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Solution

The fourth proportional to 112.30, 167.26 and 111.04 is: 165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.30 : 167.26 = 111.04 : x
  2. Step 2: Convert to fraction form
    112.30/167.26 = 111.04/x
  3. Step 3: Cross multiply
    112.30x = 167.26 × 111.04
  4. Step 4: Simplify right side
    112.30x = 18,572.55
  5. Step 5: Solve for x
    x = 18,572.55/112.30
  6. Step 6: Final answer
    x = 165.38

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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.