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Finding the Fourth Proportional to 276.24, 384.26 and 270.96

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Solution

The fourth proportional to 276.24, 384.26 and 270.96 is: 376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 384.26 = 270.96 : x
  2. Step 2: Convert to fraction form
    276.24/384.26 = 270.96/x
  3. Step 3: Cross multiply
    276.24x = 384.26 × 270.96
  4. Step 4: Simplify right side
    276.24x = 104,119.09
  5. Step 5: Solve for x
    x = 104,119.09/276.24
  6. Step 6: Final answer
    x = 376.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.