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Finding the Fourth Proportional to 167.10, 250.42 and 106.12

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Solution

The fourth proportional to 167.10, 250.42 and 106.12 is: 159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.10 : 250.42 = 106.12 : x
  2. Step 2: Convert to fraction form
    167.10/250.42 = 106.12/x
  3. Step 3: Cross multiply
    167.10x = 250.42 × 106.12
  4. Step 4: Simplify right side
    167.10x = 26,572.79
  5. Step 5: Solve for x
    x = 26,572.79/167.10
  6. Step 6: Final answer
    x = 159.03

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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.