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Finding the Fourth Proportional to 426.44, 639.66 and 137.94

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Solution

The fourth proportional to 426.44, 639.66 and 137.94 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.44 : 639.66 = 137.94 : x
  2. Step 2: Convert to fraction form
    426.44/639.66 = 137.94/x
  3. Step 3: Cross multiply
    426.44x = 639.66 × 137.94
  4. Step 4: Simplify right side
    426.44x = 88,234.70
  5. Step 5: Solve for x
    x = 88,234.70/426.44
  6. Step 6: Final answer
    x = 206.91

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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.