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Finding the Fourth Proportional to 273.44, 379.92 and 270

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Solution

The fourth proportional to 273.44, 379.92 and 270 is: 375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.44 : 379.92 = 270 : x
  2. Step 2: Convert to fraction form
    273.44/379.92 = 270/x
  3. Step 3: Cross multiply
    273.44x = 379.92 × 270
  4. Step 4: Simplify right side
    273.44x = 102,578.40
  5. Step 5: Solve for x
    x = 102,578.40/273.44
  6. Step 6: Final answer
    x = 375.14

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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.