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Finding the Fourth Proportional to 170.80, 255.06 and 167.92

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Solution

The fourth proportional to 170.80, 255.06 and 167.92 is: 250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.80 : 255.06 = 167.92 : x
  2. Step 2: Convert to fraction form
    170.80/255.06 = 167.92/x
  3. Step 3: Cross multiply
    170.80x = 255.06 × 167.92
  4. Step 4: Simplify right side
    170.80x = 42,829.68
  5. Step 5: Solve for x
    x = 42,829.68/170.80
  6. Step 6: Final answer
    x = 250.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.