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Finding the Fourth Proportional to 273.81, 378.44 and 200.64

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Solution

The fourth proportional to 273.81, 378.44 and 200.64 is: 277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.81 : 378.44 = 200.64 : x
  2. Step 2: Convert to fraction form
    273.81/378.44 = 200.64/x
  3. Step 3: Cross multiply
    273.81x = 378.44 × 200.64
  4. Step 4: Simplify right side
    273.81x = 75,930.20
  5. Step 5: Solve for x
    x = 75,930.20/273.81
  6. Step 6: Final answer
    x = 277.31

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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.