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Finding the Fourth Proportional to 119.24, 179.68 and 113.74

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Solution

The fourth proportional to 119.24, 179.68 and 113.74 is: 171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.24 : 179.68 = 113.74 : x
  2. Step 2: Convert to fraction form
    119.24/179.68 = 113.74/x
  3. Step 3: Cross multiply
    119.24x = 179.68 × 113.74
  4. Step 4: Simplify right side
    119.24x = 20,436.80
  5. Step 5: Solve for x
    x = 20,436.80/119.24
  6. Step 6: Final answer
    x = 171.39

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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.