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Finding the Fourth Proportional to 411.25, 616.88 and 137.33

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Solution

The fourth proportional to 411.25, 616.88 and 137.33 is: 205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.25 : 616.88 = 137.33 : x
  2. Step 2: Convert to fraction form
    411.25/616.88 = 137.33/x
  3. Step 3: Cross multiply
    411.25x = 616.88 × 137.33
  4. Step 4: Simplify right side
    411.25x = 84,712.36
  5. Step 5: Solve for x
    x = 84,712.36/411.25
  6. Step 6: Final answer
    x = 205.99

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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.