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Finding the Fourth Proportional to 440.41, 660.32 and 209.17

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Solution

The fourth proportional to 440.41, 660.32 and 209.17 is: 313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.41 : 660.32 = 209.17 : x
  2. Step 2: Convert to fraction form
    440.41/660.32 = 209.17/x
  3. Step 3: Cross multiply
    440.41x = 660.32 × 209.17
  4. Step 4: Simplify right side
    440.41x = 138,119.13
  5. Step 5: Solve for x
    x = 138,119.13/440.41
  6. Step 6: Final answer
    x = 313.61

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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.