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Finding the Fourth Proportional to 411.88, 618.06 and 168.41

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Solution

The fourth proportional to 411.88, 618.06 and 168.41 is: 252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.88 : 618.06 = 168.41 : x
  2. Step 2: Convert to fraction form
    411.88/618.06 = 168.41/x
  3. Step 3: Cross multiply
    411.88x = 618.06 × 168.41
  4. Step 4: Simplify right side
    411.88x = 104,087.48
  5. Step 5: Solve for x
    x = 104,087.48/411.88
  6. Step 6: Final answer
    x = 252.72

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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.