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Finding the Fourth Proportional to 411.44, 617.15 and 137.39

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Solution

The fourth proportional to 411.44, 617.15 and 137.39 is: 206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.44 : 617.15 = 137.39 : x
  2. Step 2: Convert to fraction form
    411.44/617.15 = 137.39/x
  3. Step 3: Cross multiply
    411.44x = 617.15 × 137.39
  4. Step 4: Simplify right side
    411.44x = 84,786.47
  5. Step 5: Solve for x
    x = 84,786.47/411.44
  6. Step 6: Final answer
    x = 206.07

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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.