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Finding the Fourth Proportional to 819.14, 1,228.82 and 271.40

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Solution

The fourth proportional to 819.14, 1,228.82 and 271.40 is: 407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.14 : 1,228.82 = 271.40 : x
  2. Step 2: Convert to fraction form
    819.14/1,228.82 = 271.40/x
  3. Step 3: Cross multiply
    819.14x = 1,228.82 × 271.40
  4. Step 4: Simplify right side
    819.14x = 333,494.25
  5. Step 5: Solve for x
    x = 333,494.25/819.14
  6. Step 6: Final answer
    x = 407.13

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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.