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Finding the Fourth Proportional to 169.68, 254.07 and 128.82

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Solution

The fourth proportional to 169.68, 254.07 and 128.82 is: 192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.68 : 254.07 = 128.82 : x
  2. Step 2: Convert to fraction form
    169.68/254.07 = 128.82/x
  3. Step 3: Cross multiply
    169.68x = 254.07 × 128.82
  4. Step 4: Simplify right side
    169.68x = 32,729.30
  5. Step 5: Solve for x
    x = 32,729.30/169.68
  6. Step 6: Final answer
    x = 192.89

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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.