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Finding the Fourth Proportional to 425.95, 638.79 and 137.32

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Solution

The fourth proportional to 425.95, 638.79 and 137.32 is: 205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.95 : 638.79 = 137.32 : x
  2. Step 2: Convert to fraction form
    425.95/638.79 = 137.32/x
  3. Step 3: Cross multiply
    425.95x = 638.79 × 137.32
  4. Step 4: Simplify right side
    425.95x = 87,718.33
  5. Step 5: Solve for x
    x = 87,718.33/425.95
  6. Step 6: Final answer
    x = 205.94

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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.