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Finding the Fourth Proportional to 269.82, 371.40 and 196.02

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Solution

The fourth proportional to 269.82, 371.40 and 196.02 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.82 : 371.40 = 196.02 : x
  2. Step 2: Convert to fraction form
    269.82/371.40 = 196.02/x
  3. Step 3: Cross multiply
    269.82x = 371.40 × 196.02
  4. Step 4: Simplify right side
    269.82x = 72,801.83
  5. Step 5: Solve for x
    x = 72,801.83/269.82
  6. Step 6: Final answer
    x = 269.82

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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.