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Finding the Fourth Proportional to 440.90, 660.89 and 209.68

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Solution

The fourth proportional to 440.90, 660.89 and 209.68 is: 314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.90 : 660.89 = 209.68 : x
  2. Step 2: Convert to fraction form
    440.90/660.89 = 209.68/x
  3. Step 3: Cross multiply
    440.90x = 660.89 × 209.68
  4. Step 4: Simplify right side
    440.90x = 138,572.71
  5. Step 5: Solve for x
    x = 138,572.71/440.90
  6. Step 6: Final answer
    x = 314.29

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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.