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Finding the Fourth Proportional to 425.95, 638.97 and 206.94

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Solution

The fourth proportional to 425.95, 638.97 and 206.94 is: 310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.95 : 638.97 = 206.94 : x
  2. Step 2: Convert to fraction form
    425.95/638.97 = 206.94/x
  3. Step 3: Cross multiply
    425.95x = 638.97 × 206.94
  4. Step 4: Simplify right side
    425.95x = 132,228.45
  5. Step 5: Solve for x
    x = 132,228.45/425.95
  6. Step 6: Final answer
    x = 310.43

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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.