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Finding the Fourth Proportional to 273.71, 378.24 and 215.95

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Solution

The fourth proportional to 273.71, 378.24 and 215.95 is: 298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.71 : 378.24 = 215.95 : x
  2. Step 2: Convert to fraction form
    273.71/378.24 = 215.95/x
  3. Step 3: Cross multiply
    273.71x = 378.24 × 215.95
  4. Step 4: Simplify right side
    273.71x = 81,679.85
  5. Step 5: Solve for x
    x = 81,679.85/273.71
  6. Step 6: Final answer
    x = 298.42

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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.