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Finding the Fourth Proportional to 613.09, 919.78 and 180.28

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Solution

The fourth proportional to 613.09, 919.78 and 180.28 is: 270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.09 : 919.78 = 180.28 : x
  2. Step 2: Convert to fraction form
    613.09/919.78 = 180.28/x
  3. Step 3: Cross multiply
    613.09x = 919.78 × 180.28
  4. Step 4: Simplify right side
    613.09x = 165,818.64
  5. Step 5: Solve for x
    x = 165,818.64/613.09
  6. Step 6: Final answer
    x = 270.46

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Double scale
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Similar ratio
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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.