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Finding the Fourth Proportional to 440.81, 660.77 and 209.72

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Solution

The fourth proportional to 440.81, 660.77 and 209.72 is: 314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.81 : 660.77 = 209.72 : x
  2. Step 2: Convert to fraction form
    440.81/660.77 = 209.72/x
  3. Step 3: Cross multiply
    440.81x = 660.77 × 209.72
  4. Step 4: Simplify right side
    440.81x = 138,578.86
  5. Step 5: Solve for x
    x = 138,578.86/440.81
  6. Step 6: Final answer
    x = 314.38

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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.