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Finding the Fourth Proportional to 276.30, 381.04 and 213.93

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Solution

The fourth proportional to 276.30, 381.04 and 213.93 is: 295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.30 : 381.04 = 213.93 : x
  2. Step 2: Convert to fraction form
    276.30/381.04 = 213.93/x
  3. Step 3: Cross multiply
    276.30x = 381.04 × 213.93
  4. Step 4: Simplify right side
    276.30x = 81,515.89
  5. Step 5: Solve for x
    x = 81,515.89/276.30
  6. Step 6: Final answer
    x = 295.03

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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.