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Finding the Fourth Proportional to 170.75, 254.18 and 169.83

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Solution

The fourth proportional to 170.75, 254.18 and 169.83 is: 252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.75 : 254.18 = 169.83 : x
  2. Step 2: Convert to fraction form
    170.75/254.18 = 169.83/x
  3. Step 3: Cross multiply
    170.75x = 254.18 × 169.83
  4. Step 4: Simplify right side
    170.75x = 43,167.81
  5. Step 5: Solve for x
    x = 43,167.81/170.75
  6. Step 6: Final answer
    x = 252.81

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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.