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Finding the Fourth Proportional to 821.13, 1,231.82 and 273.20

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Solution

The fourth proportional to 821.13, 1,231.82 and 273.20 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.13 : 1,231.82 = 273.20 : x
  2. Step 2: Convert to fraction form
    821.13/1,231.82 = 273.20/x
  3. Step 3: Cross multiply
    821.13x = 1,231.82 × 273.20
  4. Step 4: Simplify right side
    821.13x = 336,525.70
  5. Step 5: Solve for x
    x = 336,525.70/821.13
  6. Step 6: Final answer
    x = 409.83

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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.