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Finding the Fourth Proportional to 276.40, 381.11 and 206.23

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Solution

The fourth proportional to 276.40, 381.11 and 206.23 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 381.11 = 206.23 : x
  2. Step 2: Convert to fraction form
    276.40/381.11 = 206.23/x
  3. Step 3: Cross multiply
    276.40x = 381.11 × 206.23
  4. Step 4: Simplify right side
    276.40x = 78,598.39
  5. Step 5: Solve for x
    x = 78,598.39/276.40
  6. Step 6: Final answer
    x = 284.36

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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.