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Finding the Fourth Proportional to 273.89, 378.14 and 174.37

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Solution

The fourth proportional to 273.89, 378.14 and 174.37 is: 240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.89 : 378.14 = 174.37 : x
  2. Step 2: Convert to fraction form
    273.89/378.14 = 174.37/x
  3. Step 3: Cross multiply
    273.89x = 378.14 × 174.37
  4. Step 4: Simplify right side
    273.89x = 65,936.27
  5. Step 5: Solve for x
    x = 65,936.27/273.89
  6. Step 6: Final answer
    x = 240.74

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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.