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Finding the Fourth Proportional to 440.65, 660.51 and 209.43

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Solution

The fourth proportional to 440.65, 660.51 and 209.43 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.65 : 660.51 = 209.43 : x
  2. Step 2: Convert to fraction form
    440.65/660.51 = 209.43/x
  3. Step 3: Cross multiply
    440.65x = 660.51 × 209.43
  4. Step 4: Simplify right side
    440.65x = 138,330.61
  5. Step 5: Solve for x
    x = 138,330.61/440.65
  6. Step 6: Final answer
    x = 313.92

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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.