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Finding the Fourth Proportional to 286.20, 426.60 and 274.05

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Solution

The fourth proportional to 286.20, 426.60 and 274.05 is: 408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.20 : 426.60 = 274.05 : x
  2. Step 2: Convert to fraction form
    286.20/426.60 = 274.05/x
  3. Step 3: Cross multiply
    286.20x = 426.60 × 274.05
  4. Step 4: Simplify right side
    286.20x = 116,909.73
  5. Step 5: Solve for x
    x = 116,909.73/286.20
  6. Step 6: Final answer
    x = 408.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.