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Finding the Fourth Proportional to 269.58, 402.80 and 196.12

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Solution

The fourth proportional to 269.58, 402.80 and 196.12 is: 293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.58 : 402.80 = 196.12 : x
  2. Step 2: Convert to fraction form
    269.58/402.80 = 196.12/x
  3. Step 3: Cross multiply
    269.58x = 402.80 × 196.12
  4. Step 4: Simplify right side
    269.58x = 78,997.14
  5. Step 5: Solve for x
    x = 78,997.14/269.58
  6. Step 6: Final answer
    x = 293.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.