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Finding the Fourth Proportional to 273.96, 378.58 and 216.20

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Solution

The fourth proportional to 273.96, 378.58 and 216.20 is: 298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 378.58 = 216.20 : x
  2. Step 2: Convert to fraction form
    273.96/378.58 = 216.20/x
  3. Step 3: Cross multiply
    273.96x = 378.58 × 216.20
  4. Step 4: Simplify right side
    273.96x = 81,849.00
  5. Step 5: Solve for x
    x = 81,849.00/273.96
  6. Step 6: Final answer
    x = 298.76

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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.