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Finding the Fourth Proportional to 273.97, 375.75 and 262.80

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Solution

The fourth proportional to 273.97, 375.75 and 262.80 is: 360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.97 : 375.75 = 262.80 : x
  2. Step 2: Convert to fraction form
    273.97/375.75 = 262.80/x
  3. Step 3: Cross multiply
    273.97x = 375.75 × 262.80
  4. Step 4: Simplify right side
    273.97x = 98,747.10
  5. Step 5: Solve for x
    x = 98,747.10/273.97
  6. Step 6: Final answer
    x = 360.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.