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Finding the Fourth Proportional to 170.56, 254.39 and 161.44

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Solution

The fourth proportional to 170.56, 254.39 and 161.44 is: 240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.56 : 254.39 = 161.44 : x
  2. Step 2: Convert to fraction form
    170.56/254.39 = 161.44/x
  3. Step 3: Cross multiply
    170.56x = 254.39 × 161.44
  4. Step 4: Simplify right side
    170.56x = 41,069.62
  5. Step 5: Solve for x
    x = 41,069.62/170.56
  6. Step 6: Final answer
    x = 240.80

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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.