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Finding the Fourth Proportional to 183.05, 251.66 and 163.18

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Solution

The fourth proportional to 183.05, 251.66 and 163.18 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.05 : 251.66 = 163.18 : x
  2. Step 2: Convert to fraction form
    183.05/251.66 = 163.18/x
  3. Step 3: Cross multiply
    183.05x = 251.66 × 163.18
  4. Step 4: Simplify right side
    183.05x = 41,065.88
  5. Step 5: Solve for x
    x = 41,065.88/183.05
  6. Step 6: Final answer
    x = 224.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.