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Finding the Fourth Proportional to 411.73, 617.61 and 180.50

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Solution

The fourth proportional to 411.73, 617.61 and 180.50 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.73 : 617.61 = 180.50 : x
  2. Step 2: Convert to fraction form
    411.73/617.61 = 180.50/x
  3. Step 3: Cross multiply
    411.73x = 617.61 × 180.50
  4. Step 4: Simplify right side
    411.73x = 111,477.16
  5. Step 5: Solve for x
    x = 111,477.16/411.73
  6. Step 6: Final answer
    x = 270.75

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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.