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Finding the Fourth Proportional to 426.50, 639.82 and 137.88

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Solution

The fourth proportional to 426.50, 639.82 and 137.88 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.50 : 639.82 = 137.88 : x
  2. Step 2: Convert to fraction form
    426.50/639.82 = 137.88/x
  3. Step 3: Cross multiply
    426.50x = 639.82 × 137.88
  4. Step 4: Simplify right side
    426.50x = 88,218.38
  5. Step 5: Solve for x
    x = 88,218.38/426.50
  6. Step 6: Final answer
    x = 206.84

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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.