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Finding the Fourth Proportional to 222.26, 306.44 and 182.78

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Solution

The fourth proportional to 222.26, 306.44 and 182.78 is: 252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.26 : 306.44 = 182.78 : x
  2. Step 2: Convert to fraction form
    222.26/306.44 = 182.78/x
  3. Step 3: Cross multiply
    222.26x = 306.44 × 182.78
  4. Step 4: Simplify right side
    222.26x = 56,011.10
  5. Step 5: Solve for x
    x = 56,011.10/222.26
  6. Step 6: Final answer
    x = 252.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.