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Finding the Fourth Proportional to 169.78, 234.20 and 106.76

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Solution

The fourth proportional to 169.78, 234.20 and 106.76 is: 147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 234.20 = 106.76 : x
  2. Step 2: Convert to fraction form
    169.78/234.20 = 106.76/x
  3. Step 3: Cross multiply
    169.78x = 234.20 × 106.76
  4. Step 4: Simplify right side
    169.78x = 25,003.19
  5. Step 5: Solve for x
    x = 25,003.19/169.78
  6. Step 6: Final answer
    x = 147.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.