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Finding the Fourth Proportional to 411.74, 617.36 and 180.50

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Solution

The fourth proportional to 411.74, 617.36 and 180.50 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.74 : 617.36 = 180.50 : x
  2. Step 2: Convert to fraction form
    411.74/617.36 = 180.50/x
  3. Step 3: Cross multiply
    411.74x = 617.36 × 180.50
  4. Step 4: Simplify right side
    411.74x = 111,433.48
  5. Step 5: Solve for x
    x = 111,433.48/411.74
  6. Step 6: Final answer
    x = 270.64

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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.