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Finding the Fourth Proportional to 819.19, 1,228.50 and 271.23

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Solution

The fourth proportional to 819.19, 1,228.50 and 271.23 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.19 : 1,228.50 = 271.23 : x
  2. Step 2: Convert to fraction form
    819.19/1,228.50 = 271.23/x
  3. Step 3: Cross multiply
    819.19x = 1,228.50 × 271.23
  4. Step 4: Simplify right side
    819.19x = 333,201.45
  5. Step 5: Solve for x
    x = 333,201.45/819.19
  6. Step 6: Final answer
    x = 406.74

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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.