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Finding the Fourth Proportional to 299.20, 412.79 and 194.41

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Solution

The fourth proportional to 299.20, 412.79 and 194.41 is: 268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 412.79 = 194.41 : x
  2. Step 2: Convert to fraction form
    299.20/412.79 = 194.41/x
  3. Step 3: Cross multiply
    299.20x = 412.79 × 194.41
  4. Step 4: Simplify right side
    299.20x = 80,251.29
  5. Step 5: Solve for x
    x = 80,251.29/299.20
  6. Step 6: Final answer
    x = 268.22

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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.