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Finding the Fourth Proportional to 194.86, 268.87 and 111.97

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Solution

The fourth proportional to 194.86, 268.87 and 111.97 is: 154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.86 : 268.87 = 111.97 : x
  2. Step 2: Convert to fraction form
    194.86/268.87 = 111.97/x
  3. Step 3: Cross multiply
    194.86x = 268.87 × 111.97
  4. Step 4: Simplify right side
    194.86x = 30,105.37
  5. Step 5: Solve for x
    x = 30,105.37/194.86
  6. Step 6: Final answer
    x = 154.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.