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Finding the Fourth Proportional to 174.85, 260.82 and 171.61

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Solution

The fourth proportional to 174.85, 260.82 and 171.61 is: 255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.85 : 260.82 = 171.61 : x
  2. Step 2: Convert to fraction form
    174.85/260.82 = 171.61/x
  3. Step 3: Cross multiply
    174.85x = 260.82 × 171.61
  4. Step 4: Simplify right side
    174.85x = 44,759.32
  5. Step 5: Solve for x
    x = 44,759.32/174.85
  6. Step 6: Final answer
    x = 255.99

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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.