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Finding the Fourth Proportional to 273.68, 377.82 and 200.10

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Solution

The fourth proportional to 273.68, 377.82 and 200.10 is: 276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.68 : 377.82 = 200.10 : x
  2. Step 2: Convert to fraction form
    273.68/377.82 = 200.10/x
  3. Step 3: Cross multiply
    273.68x = 377.82 × 200.10
  4. Step 4: Simplify right side
    273.68x = 75,601.78
  5. Step 5: Solve for x
    x = 75,601.78/273.68
  6. Step 6: Final answer
    x = 276.24

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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.