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Finding the Fourth Proportional to 273.78, 408.95 and 200.00

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Solution

The fourth proportional to 273.78, 408.95 and 200.00 is: 298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.78 : 408.95 = 200.00 : x
  2. Step 2: Convert to fraction form
    273.78/408.95 = 200.00/x
  3. Step 3: Cross multiply
    273.78x = 408.95 × 200.00
  4. Step 4: Simplify right side
    273.78x = 81,790.77
  5. Step 5: Solve for x
    x = 81,790.77/273.78
  6. Step 6: Final answer
    x = 298.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.