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Finding the Fourth Proportional to 167.20, 249.08 and 162.16

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Solution

The fourth proportional to 167.20, 249.08 and 162.16 is: 241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.20 : 249.08 = 162.16 : x
  2. Step 2: Convert to fraction form
    167.20/249.08 = 162.16/x
  3. Step 3: Cross multiply
    167.20x = 249.08 × 162.16
  4. Step 4: Simplify right side
    167.20x = 40,390.81
  5. Step 5: Solve for x
    x = 40,390.81/167.20
  6. Step 6: Final answer
    x = 241.57

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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.