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Finding the Fourth Proportional to 169.76, 254.37 and 83.09

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Solution

The fourth proportional to 169.76, 254.37 and 83.09 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 254.37 = 83.09 : x
  2. Step 2: Convert to fraction form
    169.76/254.37 = 83.09/x
  3. Step 3: Cross multiply
    169.76x = 254.37 × 83.09
  4. Step 4: Simplify right side
    169.76x = 21,134.33
  5. Step 5: Solve for x
    x = 21,134.33/169.76
  6. Step 6: Final answer
    x = 124.50

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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.