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Finding the Fourth Proportional to 440.97, 661.44 and 209.97

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Solution

The fourth proportional to 440.97, 661.44 and 209.97 is: 314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.97 : 661.44 = 209.97 : x
  2. Step 2: Convert to fraction form
    440.97/661.44 = 209.97/x
  3. Step 3: Cross multiply
    440.97x = 661.44 × 209.97
  4. Step 4: Simplify right side
    440.97x = 138,882.56
  5. Step 5: Solve for x
    x = 138,882.56/440.97
  6. Step 6: Final answer
    x = 314.95

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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.