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Finding the Fourth Proportional to 111.46, 168.40 and 110.50

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Solution

The fourth proportional to 111.46, 168.40 and 110.50 is: 166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.46 : 168.40 = 110.50 : x
  2. Step 2: Convert to fraction form
    111.46/168.40 = 110.50/x
  3. Step 3: Cross multiply
    111.46x = 168.40 × 110.50
  4. Step 4: Simplify right side
    111.46x = 18,608.20
  5. Step 5: Solve for x
    x = 18,608.20/111.46
  6. Step 6: Final answer
    x = 166.95

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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.