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Finding the Fourth Proportional to 269.70, 371.98 and 196.08

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Solution

The fourth proportional to 269.70, 371.98 and 196.08 is: 270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.70 : 371.98 = 196.08 : x
  2. Step 2: Convert to fraction form
    269.70/371.98 = 196.08/x
  3. Step 3: Cross multiply
    269.70x = 371.98 × 196.08
  4. Step 4: Simplify right side
    269.70x = 72,937.84
  5. Step 5: Solve for x
    x = 72,937.84/269.70
  6. Step 6: Final answer
    x = 270.44

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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.