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Finding the Fourth Proportional to 425.62, 638.46 and 137.08

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Solution

The fourth proportional to 425.62, 638.46 and 137.08 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.62 : 638.46 = 137.08 : x
  2. Step 2: Convert to fraction form
    425.62/638.46 = 137.08/x
  3. Step 3: Cross multiply
    425.62x = 638.46 × 137.08
  4. Step 4: Simplify right side
    425.62x = 87,520.10
  5. Step 5: Solve for x
    x = 87,520.10/425.62
  6. Step 6: Final answer
    x = 205.63

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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.