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Finding the Fourth Proportional to 411.06, 616.31 and 137.12

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Solution

The fourth proportional to 411.06, 616.31 and 137.12 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.06 : 616.31 = 137.12 : x
  2. Step 2: Convert to fraction form
    411.06/616.31 = 137.12/x
  3. Step 3: Cross multiply
    411.06x = 616.31 × 137.12
  4. Step 4: Simplify right side
    411.06x = 84,507.74
  5. Step 5: Solve for x
    x = 84,507.74/411.06
  6. Step 6: Final answer
    x = 205.58

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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.