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Finding the Fourth Proportional to 273.38, 377.46 and 199.80

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Solution

The fourth proportional to 273.38, 377.46 and 199.80 is: 275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.38 : 377.46 = 199.80 : x
  2. Step 2: Convert to fraction form
    273.38/377.46 = 199.80/x
  3. Step 3: Cross multiply
    273.38x = 377.46 × 199.80
  4. Step 4: Simplify right side
    273.38x = 75,416.51
  5. Step 5: Solve for x
    x = 75,416.51/273.38
  6. Step 6: Final answer
    x = 275.87

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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.