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Finding the Fourth Proportional to 167.42, 249.76 and 162.20

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Solution

The fourth proportional to 167.42, 249.76 and 162.20 is: 241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.42 : 249.76 = 162.20 : x
  2. Step 2: Convert to fraction form
    167.42/249.76 = 162.20/x
  3. Step 3: Cross multiply
    167.42x = 249.76 × 162.20
  4. Step 4: Simplify right side
    167.42x = 40,511.07
  5. Step 5: Solve for x
    x = 40,511.07/167.42
  6. Step 6: Final answer
    x = 241.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.