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Finding the Fourth Proportional to 411.69, 617.07 and 137.72

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Solution

The fourth proportional to 411.69, 617.07 and 137.72 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.69 : 617.07 = 137.72 : x
  2. Step 2: Convert to fraction form
    411.69/617.07 = 137.72/x
  3. Step 3: Cross multiply
    411.69x = 617.07 × 137.72
  4. Step 4: Simplify right side
    411.69x = 84,979.80
  5. Step 5: Solve for x
    x = 84,979.80/411.69
  6. Step 6: Final answer
    x = 206.42

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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.