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Finding the Fourth Proportional to 273.99, 378.32 and 169.22

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Solution

The fourth proportional to 273.99, 378.32 and 169.22 is: 233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.99 : 378.32 = 169.22 : x
  2. Step 2: Convert to fraction form
    273.99/378.32 = 169.22/x
  3. Step 3: Cross multiply
    273.99x = 378.32 × 169.22
  4. Step 4: Simplify right side
    273.99x = 64,016.57
  5. Step 5: Solve for x
    x = 64,016.57/273.99
  6. Step 6: Final answer
    x = 233.65

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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.