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Finding the Fourth Proportional to 806.30, 1,209.46 and 229.20

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Solution

The fourth proportional to 806.30, 1,209.46 and 229.20 is: 343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.30 : 1,209.46 = 229.20 : x
  2. Step 2: Convert to fraction form
    806.30/1,209.46 = 229.20/x
  3. Step 3: Cross multiply
    806.30x = 1,209.46 × 229.20
  4. Step 4: Simplify right side
    806.30x = 277,208.23
  5. Step 5: Solve for x
    x = 277,208.23/806.30
  6. Step 6: Final answer
    x = 343.80

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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.