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Finding the Fourth Proportional to 276.05, 381.26 and 214.62

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Solution

The fourth proportional to 276.05, 381.26 and 214.62 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.05 : 381.26 = 214.62 : x
  2. Step 2: Convert to fraction form
    276.05/381.26 = 214.62/x
  3. Step 3: Cross multiply
    276.05x = 381.26 × 214.62
  4. Step 4: Simplify right side
    276.05x = 81,826.02
  5. Step 5: Solve for x
    x = 81,826.02/276.05
  6. Step 6: Final answer
    x = 296.42

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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.