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Finding the Fourth Proportional to 170.60, 255.75 and 116.42

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Solution

The fourth proportional to 170.60, 255.75 and 116.42 is: 174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.60 : 255.75 = 116.42 : x
  2. Step 2: Convert to fraction form
    170.60/255.75 = 116.42/x
  3. Step 3: Cross multiply
    170.60x = 255.75 × 116.42
  4. Step 4: Simplify right side
    170.60x = 29,773.14
  5. Step 5: Solve for x
    x = 29,773.14/170.60
  6. Step 6: Final answer
    x = 174.53

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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.