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Finding the Fourth Proportional to 276.40, 381.50 and 206.47

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Solution

The fourth proportional to 276.40, 381.50 and 206.47 is: 284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 381.50 = 206.47 : x
  2. Step 2: Convert to fraction form
    276.40/381.50 = 206.47/x
  3. Step 3: Cross multiply
    276.40x = 381.50 × 206.47
  4. Step 4: Simplify right side
    276.40x = 78,768.31
  5. Step 5: Solve for x
    x = 78,768.31/276.40
  6. Step 6: Final answer
    x = 284.98

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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.