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Finding the Fourth Proportional to 167.56, 249.45 and 165.28

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Solution

The fourth proportional to 167.56, 249.45 and 165.28 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.56 : 249.45 = 165.28 : x
  2. Step 2: Convert to fraction form
    167.56/249.45 = 165.28/x
  3. Step 3: Cross multiply
    167.56x = 249.45 × 165.28
  4. Step 4: Simplify right side
    167.56x = 41,229.10
  5. Step 5: Solve for x
    x = 41,229.10/167.56
  6. Step 6: Final answer
    x = 246.06

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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.