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Finding the Fourth Proportional to 276.24, 409.44 and 271.92

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Solution

The fourth proportional to 276.24, 409.44 and 271.92 is: 403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 409.44 = 271.92 : x
  2. Step 2: Convert to fraction form
    276.24/409.44 = 271.92/x
  3. Step 3: Cross multiply
    276.24x = 409.44 × 271.92
  4. Step 4: Simplify right side
    276.24x = 111,334.92
  5. Step 5: Solve for x
    x = 111,334.92/276.24
  6. Step 6: Final answer
    x = 403.04

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.