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Finding the Fourth Proportional to 170.20, 255.12 and 129.52

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Solution

The fourth proportional to 170.20, 255.12 and 129.52 is: 194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.20 : 255.12 = 129.52 : x
  2. Step 2: Convert to fraction form
    170.20/255.12 = 129.52/x
  3. Step 3: Cross multiply
    170.20x = 255.12 × 129.52
  4. Step 4: Simplify right side
    170.20x = 33,043.14
  5. Step 5: Solve for x
    x = 33,043.14/170.20
  6. Step 6: Final answer
    x = 194.14

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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.