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Finding the Fourth Proportional to 273.99, 378.09 and 175.77

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Solution

The fourth proportional to 273.99, 378.09 and 175.77 is: 242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.99 : 378.09 = 175.77 : x
  2. Step 2: Convert to fraction form
    273.99/378.09 = 175.77/x
  3. Step 3: Cross multiply
    273.99x = 378.09 × 175.77
  4. Step 4: Simplify right side
    273.99x = 66,456.88
  5. Step 5: Solve for x
    x = 66,456.88/273.99
  6. Step 6: Final answer
    x = 242.55

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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.