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Finding the Fourth Proportional to 411.61, 617.20 and 168.01

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Solution

The fourth proportional to 411.61, 617.20 and 168.01 is: 251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.61 : 617.20 = 168.01 : x
  2. Step 2: Convert to fraction form
    411.61/617.20 = 168.01/x
  3. Step 3: Cross multiply
    411.61x = 617.20 × 168.01
  4. Step 4: Simplify right side
    411.61x = 103,694.93
  5. Step 5: Solve for x
    x = 103,694.93/411.61
  6. Step 6: Final answer
    x = 251.93

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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.