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Finding the Fourth Proportional to 276.24, 381.36 and 193.62

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Solution

The fourth proportional to 276.24, 381.36 and 193.62 is: 267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 381.36 = 193.62 : x
  2. Step 2: Convert to fraction form
    276.24/381.36 = 193.62/x
  3. Step 3: Cross multiply
    276.24x = 381.36 × 193.62
  4. Step 4: Simplify right side
    276.24x = 73,838.92
  5. Step 5: Solve for x
    x = 73,838.92/276.24
  6. Step 6: Final answer
    x = 267.30

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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.