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Finding the Fourth Proportional to 441.38, 661.76 and 268.09

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Solution

The fourth proportional to 441.38, 661.76 and 268.09 is: 401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.38 : 661.76 = 268.09 : x
  2. Step 2: Convert to fraction form
    441.38/661.76 = 268.09/x
  3. Step 3: Cross multiply
    441.38x = 661.76 × 268.09
  4. Step 4: Simplify right side
    441.38x = 177,408.24
  5. Step 5: Solve for x
    x = 177,408.24/441.38
  6. Step 6: Final answer
    x = 401.94

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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.