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Finding the Fourth Proportional to 169.80, 234.26 and 104.28

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Solution

The fourth proportional to 169.80, 234.26 and 104.28 is: 143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 234.26 = 104.28 : x
  2. Step 2: Convert to fraction form
    169.80/234.26 = 104.28/x
  3. Step 3: Cross multiply
    169.80x = 234.26 × 104.28
  4. Step 4: Simplify right side
    169.80x = 24,428.63
  5. Step 5: Solve for x
    x = 24,428.63/169.80
  6. Step 6: Final answer
    x = 143.87

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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.