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Finding the Fourth Proportional to 613.41, 919.98 and 180.51

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Solution

The fourth proportional to 613.41, 919.98 and 180.51 is: 270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.41 : 919.98 = 180.51 : x
  2. Step 2: Convert to fraction form
    613.41/919.98 = 180.51/x
  3. Step 3: Cross multiply
    613.41x = 919.98 × 180.51
  4. Step 4: Simplify right side
    613.41x = 166,065.59
  5. Step 5: Solve for x
    x = 166,065.59/613.41
  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.