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Finding the Fourth Proportional to 269.12, 403 and 131.68

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Solution

The fourth proportional to 269.12, 403 and 131.68 is: 197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.12 : 403 = 131.68 : x
  2. Step 2: Convert to fraction form
    269.12/403 = 131.68/x
  3. Step 3: Cross multiply
    269.12x = 403 × 131.68
  4. Step 4: Simplify right side
    269.12x = 53,067.04
  5. Step 5: Solve for x
    x = 53,067.04/269.12
  6. Step 6: Final answer
    x = 197.19

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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.