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Finding the Fourth Proportional to 276.81, 382.44 and 241.87

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Solution

The fourth proportional to 276.81, 382.44 and 241.87 is: 334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.81 : 382.44 = 241.87 : x
  2. Step 2: Convert to fraction form
    276.81/382.44 = 241.87/x
  3. Step 3: Cross multiply
    276.81x = 382.44 × 241.87
  4. Step 4: Simplify right side
    276.81x = 92,500.76
  5. Step 5: Solve for x
    x = 92,500.76/276.81
  6. Step 6: Final answer
    x = 334.17

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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.