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Finding the Fourth Proportional to 412.07, 617.67 and 137.97

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Solution

The fourth proportional to 412.07, 617.67 and 137.97 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.07 : 617.67 = 137.97 : x
  2. Step 2: Convert to fraction form
    412.07/617.67 = 137.97/x
  3. Step 3: Cross multiply
    412.07x = 617.67 × 137.97
  4. Step 4: Simplify right side
    412.07x = 85,219.93
  5. Step 5: Solve for x
    x = 85,219.93/412.07
  6. Step 6: Final answer
    x = 206.81

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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.