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Finding the Fourth Proportional to 273.96, 378 and 199.44

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Solution

The fourth proportional to 273.96, 378 and 199.44 is: 275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 378 = 199.44 : x
  2. Step 2: Convert to fraction form
    273.96/378 = 199.44/x
  3. Step 3: Cross multiply
    273.96x = 378 × 199.44
  4. Step 4: Simplify right side
    273.96x = 75,388.32
  5. Step 5: Solve for x
    x = 75,388.32/273.96
  6. Step 6: Final answer
    x = 275.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.