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Finding the Fourth Proportional to 273.44, 376.40 and 217.76

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Solution

The fourth proportional to 273.44, 376.40 and 217.76 is: 299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.44 : 376.40 = 217.76 : x
  2. Step 2: Convert to fraction form
    273.44/376.40 = 217.76/x
  3. Step 3: Cross multiply
    273.44x = 376.40 × 217.76
  4. Step 4: Simplify right side
    273.44x = 81,964.86
  5. Step 5: Solve for x
    x = 81,964.86/273.44
  6. Step 6: Final answer
    x = 299.75

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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.