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Finding the Fourth Proportional to 169.51, 252.49 and 161.62

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Solution

The fourth proportional to 169.51, 252.49 and 161.62 is: 240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.51 : 252.49 = 161.62 : x
  2. Step 2: Convert to fraction form
    169.51/252.49 = 161.62/x
  3. Step 3: Cross multiply
    169.51x = 252.49 × 161.62
  4. Step 4: Simplify right side
    169.51x = 40,807.43
  5. Step 5: Solve for x
    x = 40,807.43/169.51
  6. Step 6: Final answer
    x = 240.74

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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.