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Finding the Fourth Proportional to 222.99, 306.41 and 181.44

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Solution

The fourth proportional to 222.99, 306.41 and 181.44 is: 249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.99 : 306.41 = 181.44 : x
  2. Step 2: Convert to fraction form
    222.99/306.41 = 181.44/x
  3. Step 3: Cross multiply
    222.99x = 306.41 × 181.44
  4. Step 4: Simplify right side
    222.99x = 55,594.12
  5. Step 5: Solve for x
    x = 55,594.12/222.99
  6. Step 6: Final answer
    x = 249.31

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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.