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Finding the Fourth Proportional to 273.79, 377.64 and 199.99

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Solution

The fourth proportional to 273.79, 377.64 and 199.99 is: 275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.79 : 377.64 = 199.99 : x
  2. Step 2: Convert to fraction form
    273.79/377.64 = 199.99/x
  3. Step 3: Cross multiply
    273.79x = 377.64 × 199.99
  4. Step 4: Simplify right side
    273.79x = 75,524.22
  5. Step 5: Solve for x
    x = 75,524.22/273.79
  6. Step 6: Final answer
    x = 275.85

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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.