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Finding the Fourth Proportional to 174.75, 260.46 and 169.12

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Solution

The fourth proportional to 174.75, 260.46 and 169.12 is: 252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.75 : 260.46 = 169.12 : x
  2. Step 2: Convert to fraction form
    174.75/260.46 = 169.12/x
  3. Step 3: Cross multiply
    174.75x = 260.46 × 169.12
  4. Step 4: Simplify right side
    174.75x = 44,049.00
  5. Step 5: Solve for x
    x = 44,049.00/174.75
  6. Step 6: Final answer
    x = 252.07

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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.