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Finding the Fourth Proportional to 167.10, 250.18 and 112.84

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Solution

The fourth proportional to 167.10, 250.18 and 112.84 is: 168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.10 : 250.18 = 112.84 : x
  2. Step 2: Convert to fraction form
    167.10/250.18 = 112.84/x
  3. Step 3: Cross multiply
    167.10x = 250.18 × 112.84
  4. Step 4: Simplify right side
    167.10x = 28,230.31
  5. Step 5: Solve for x
    x = 28,230.31/167.10
  6. Step 6: Final answer
    x = 168.94

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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.