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Finding the Fourth Proportional to 274.67, 378.19 and 273.86

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Solution

The fourth proportional to 274.67, 378.19 and 273.86 is: 377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.67 : 378.19 = 273.86 : x
  2. Step 2: Convert to fraction form
    274.67/378.19 = 273.86/x
  3. Step 3: Cross multiply
    274.67x = 378.19 × 273.86
  4. Step 4: Simplify right side
    274.67x = 103,571.11
  5. Step 5: Solve for x
    x = 103,571.11/274.67
  6. Step 6: Final answer
    x = 377.07

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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.