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Finding the Fourth Proportional to 167.82, 251.34 and 162.05

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Solution

The fourth proportional to 167.82, 251.34 and 162.05 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 251.34 = 162.05 : x
  2. Step 2: Convert to fraction form
    167.82/251.34 = 162.05/x
  3. Step 3: Cross multiply
    167.82x = 251.34 × 162.05
  4. Step 4: Simplify right side
    167.82x = 40,729.65
  5. Step 5: Solve for x
    x = 40,729.65/167.82
  6. Step 6: Final answer
    x = 242.70

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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.