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Finding the Fourth Proportional to 297.28, 446.28 and 206.56

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Solution

The fourth proportional to 297.28, 446.28 and 206.56 is: 310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.28 : 446.28 = 206.56 : x
  2. Step 2: Convert to fraction form
    297.28/446.28 = 206.56/x
  3. Step 3: Cross multiply
    297.28x = 446.28 × 206.56
  4. Step 4: Simplify right side
    297.28x = 92,183.60
  5. Step 5: Solve for x
    x = 92,183.60/297.28
  6. Step 6: Final answer
    x = 310.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.