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Finding the Fourth Proportional to 174.26, 239.04 and 170.66

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Solution

The fourth proportional to 174.26, 239.04 and 170.66 is: 234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.26 : 239.04 = 170.66 : x
  2. Step 2: Convert to fraction form
    174.26/239.04 = 170.66/x
  3. Step 3: Cross multiply
    174.26x = 239.04 × 170.66
  4. Step 4: Simplify right side
    174.26x = 40,794.57
  5. Step 5: Solve for x
    x = 40,794.57/174.26
  6. Step 6: Final answer
    x = 234.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.