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Finding the Fourth Proportional to 167.16, 249.46 and 156.15

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Solution

The fourth proportional to 167.16, 249.46 and 156.15 is: 233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.16 : 249.46 = 156.15 : x
  2. Step 2: Convert to fraction form
    167.16/249.46 = 156.15/x
  3. Step 3: Cross multiply
    167.16x = 249.46 × 156.15
  4. Step 4: Simplify right side
    167.16x = 38,954.31
  5. Step 5: Solve for x
    x = 38,954.31/167.16
  6. Step 6: Final answer
    x = 233.04

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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.