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Finding the Fourth Proportional to 411.90, 618.26 and 180.95

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Solution

The fourth proportional to 411.90, 618.26 and 180.95 is: 271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.90 : 618.26 = 180.95 : x
  2. Step 2: Convert to fraction form
    411.90/618.26 = 180.95/x
  3. Step 3: Cross multiply
    411.90x = 618.26 × 180.95
  4. Step 4: Simplify right side
    411.90x = 111,874.15
  5. Step 5: Solve for x
    x = 111,874.15/411.90
  6. Step 6: Final answer
    x = 271.61

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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.