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Finding the Fourth Proportional to 169.19, 251.96 and 162.20

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Solution

The fourth proportional to 169.19, 251.96 and 162.20 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.19 : 251.96 = 162.20 : x
  2. Step 2: Convert to fraction form
    169.19/251.96 = 162.20/x
  3. Step 3: Cross multiply
    169.19x = 251.96 × 162.20
  4. Step 4: Simplify right side
    169.19x = 40,868.64
  5. Step 5: Solve for x
    x = 40,868.64/169.19
  6. Step 6: Final answer
    x = 241.56

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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.