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Finding the Fourth Proportional to 806.33, 1,209.57 and 229.21

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Solution

The fourth proportional to 806.33, 1,209.57 and 229.21 is: 343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.33 : 1,209.57 = 229.21 : x
  2. Step 2: Convert to fraction form
    806.33/1,209.57 = 229.21/x
  3. Step 3: Cross multiply
    806.33x = 1,209.57 × 229.21
  4. Step 4: Simplify right side
    806.33x = 277,245.54
  5. Step 5: Solve for x
    x = 277,245.54/806.33
  6. Step 6: Final answer
    x = 343.84

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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.