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Finding the Fourth Proportional to 169.80, 254.76 and 77.26

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Solution

The fourth proportional to 169.80, 254.76 and 77.26 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 254.76 = 77.26 : x
  2. Step 2: Convert to fraction form
    169.80/254.76 = 77.26/x
  3. Step 3: Cross multiply
    169.80x = 254.76 × 77.26
  4. Step 4: Simplify right side
    169.80x = 19,682.76
  5. Step 5: Solve for x
    x = 19,682.76/169.80
  6. Step 6: Final answer
    x = 115.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.