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Finding the Fourth Proportional to 743.86, 1,115.79 and 196

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Solution

The fourth proportional to 743.86, 1,115.79 and 196 is: 294

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.86 : 1,115.79 = 196 : x
  2. Step 2: Convert to fraction form
    743.86/1,115.79 = 196/x
  3. Step 3: Cross multiply
    743.86x = 1,115.79 × 196
  4. Step 4: Simplify right side
    743.86x = 218,694.84
  5. Step 5: Solve for x
    x = 218,694.84/743.86
  6. Step 6: Final answer
    x = 294

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.