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Finding the Fourth Proportional to 169.80, 256.11 and 161.80

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Solution

The fourth proportional to 169.80, 256.11 and 161.80 is: 244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 256.11 = 161.80 : x
  2. Step 2: Convert to fraction form
    169.80/256.11 = 161.80/x
  3. Step 3: Cross multiply
    169.80x = 256.11 × 161.80
  4. Step 4: Simplify right side
    169.80x = 41,438.60
  5. Step 5: Solve for x
    x = 41,438.60/169.80
  6. Step 6: Final answer
    x = 244.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.