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Finding the Fourth Proportional to 167.40, 251.16 and 112.78

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Solution

The fourth proportional to 167.40, 251.16 and 112.78 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.40 : 251.16 = 112.78 : x
  2. Step 2: Convert to fraction form
    167.40/251.16 = 112.78/x
  3. Step 3: Cross multiply
    167.40x = 251.16 × 112.78
  4. Step 4: Simplify right side
    167.40x = 28,325.72
  5. Step 5: Solve for x
    x = 28,325.72/167.40
  6. Step 6: Final answer
    x = 169.21

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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.