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Finding the Fourth Proportional to 381.09, 573.87 and 273.63

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Solution

The fourth proportional to 381.09, 573.87 and 273.63 is: 412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 573.87 = 273.63 : x
  2. Step 2: Convert to fraction form
    381.09/573.87 = 273.63/x
  3. Step 3: Cross multiply
    381.09x = 573.87 × 273.63
  4. Step 4: Simplify right side
    381.09x = 157,028.05
  5. Step 5: Solve for x
    x = 157,028.05/381.09
  6. Step 6: Final answer
    x = 412.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.