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Finding the Fourth Proportional to 273.95, 378.21 and 180.66

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Solution

The fourth proportional to 273.95, 378.21 and 180.66 is: 249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.95 : 378.21 = 180.66 : x
  2. Step 2: Convert to fraction form
    273.95/378.21 = 180.66/x
  3. Step 3: Cross multiply
    273.95x = 378.21 × 180.66
  4. Step 4: Simplify right side
    273.95x = 68,326.74
  5. Step 5: Solve for x
    x = 68,326.74/273.95
  6. Step 6: Final answer
    x = 249.41

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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.