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Finding the Fourth Proportional to 167.22, 250.67 and 98.65

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Solution

The fourth proportional to 167.22, 250.67 and 98.65 is: 147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.22 : 250.67 = 98.65 : x
  2. Step 2: Convert to fraction form
    167.22/250.67 = 98.65/x
  3. Step 3: Cross multiply
    167.22x = 250.67 × 98.65
  4. Step 4: Simplify right side
    167.22x = 24,728.10
  5. Step 5: Solve for x
    x = 24,728.10/167.22
  6. Step 6: Final answer
    x = 147.88

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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.