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Finding the Fourth Proportional to 269.30, 403.41 and 132.26

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Solution

The fourth proportional to 269.30, 403.41 and 132.26 is: 198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.30 : 403.41 = 132.26 : x
  2. Step 2: Convert to fraction form
    269.30/403.41 = 132.26/x
  3. Step 3: Cross multiply
    269.30x = 403.41 × 132.26
  4. Step 4: Simplify right side
    269.30x = 53,355.01
  5. Step 5: Solve for x
    x = 53,355.01/269.30
  6. Step 6: Final answer
    x = 198.12

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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.