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Finding the Fourth Proportional to 174.38, 263.07 and 169.52

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Solution

The fourth proportional to 174.38, 263.07 and 169.52 is: 255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.38 : 263.07 = 169.52 : x
  2. Step 2: Convert to fraction form
    174.38/263.07 = 169.52/x
  3. Step 3: Cross multiply
    174.38x = 263.07 × 169.52
  4. Step 4: Simplify right side
    174.38x = 44,594.31
  5. Step 5: Solve for x
    x = 44,594.31/174.38
  6. Step 6: Final answer
    x = 255.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.