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Finding the Fourth Proportional to 169.27, 252.19 and 162.25

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Solution

The fourth proportional to 169.27, 252.19 and 162.25 is: 241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.27 : 252.19 = 162.25 : x
  2. Step 2: Convert to fraction form
    169.27/252.19 = 162.25/x
  3. Step 3: Cross multiply
    169.27x = 252.19 × 162.25
  4. Step 4: Simplify right side
    169.27x = 40,917.83
  5. Step 5: Solve for x
    x = 40,917.83/169.27
  6. Step 6: Final answer
    x = 241.73

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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.