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Finding the Fourth Proportional to 273.94, 379.98 and 264.09

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Solution

The fourth proportional to 273.94, 379.98 and 264.09 is: 366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 379.98 = 264.09 : x
  2. Step 2: Convert to fraction form
    273.94/379.98 = 264.09/x
  3. Step 3: Cross multiply
    273.94x = 379.98 × 264.09
  4. Step 4: Simplify right side
    273.94x = 100,349.44
  5. Step 5: Solve for x
    x = 100,349.44/273.94
  6. Step 6: Final answer
    x = 366.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.