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Finding the Fourth Proportional to 320.20, 441.80 and 209.68

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Solution

The fourth proportional to 320.20, 441.80 and 209.68 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.20 : 441.80 = 209.68 : x
  2. Step 2: Convert to fraction form
    320.20/441.80 = 209.68/x
  3. Step 3: Cross multiply
    320.20x = 441.80 × 209.68
  4. Step 4: Simplify right side
    320.20x = 92,636.62
  5. Step 5: Solve for x
    x = 92,636.62/320.20
  6. Step 6: Final answer
    x = 289.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.