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Finding the Fourth Proportional to 821.19, 1,231.81 and 273.38

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Solution

The fourth proportional to 821.19, 1,231.81 and 273.38 is: 410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.19 : 1,231.81 = 273.38 : x
  2. Step 2: Convert to fraction form
    821.19/1,231.81 = 273.38/x
  3. Step 3: Cross multiply
    821.19x = 1,231.81 × 273.38
  4. Step 4: Simplify right side
    821.19x = 336,746.24
  5. Step 5: Solve for x
    x = 336,746.24/821.19
  6. Step 6: Final answer
    x = 410.07

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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.