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Finding the Fourth Proportional to 119.37, 179.92 and 112.75

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Solution

The fourth proportional to 119.37, 179.92 and 112.75 is: 169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.37 : 179.92 = 112.75 : x
  2. Step 2: Convert to fraction form
    119.37/179.92 = 112.75/x
  3. Step 3: Cross multiply
    119.37x = 179.92 × 112.75
  4. Step 4: Simplify right side
    119.37x = 20,285.98
  5. Step 5: Solve for x
    x = 20,285.98/119.37
  6. Step 6: Final answer
    x = 169.94

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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.