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Finding the Fourth Proportional to 613.45, 919.86 and 180.55

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Solution

The fourth proportional to 613.45, 919.86 and 180.55 is: 270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.45 : 919.86 = 180.55 : x
  2. Step 2: Convert to fraction form
    613.45/919.86 = 180.55/x
  3. Step 3: Cross multiply
    613.45x = 919.86 × 180.55
  4. Step 4: Simplify right side
    613.45x = 166,080.72
  5. Step 5: Solve for x
    x = 166,080.72/613.45
  6. Step 6: Final answer
    x = 270.73

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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.