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Finding the Fourth Proportional to 613.32, 919.97 and 180.44

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Solution

The fourth proportional to 613.32, 919.97 and 180.44 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.32 : 919.97 = 180.44 : x
  2. Step 2: Convert to fraction form
    613.32/919.97 = 180.44/x
  3. Step 3: Cross multiply
    613.32x = 919.97 × 180.44
  4. Step 4: Simplify right side
    613.32x = 165,999.03
  5. Step 5: Solve for x
    x = 165,999.03/613.32
  6. Step 6: Final answer
    x = 270.66

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1.5x scale

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.