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Finding the Fourth Proportional to 252.08, 380.22 and 222.02

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Solution

The fourth proportional to 252.08, 380.22 and 222.02 is: 334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.08 : 380.22 = 222.02 : x
  2. Step 2: Convert to fraction form
    252.08/380.22 = 222.02/x
  3. Step 3: Cross multiply
    252.08x = 380.22 × 222.02
  4. Step 4: Simplify right side
    252.08x = 84,416.44
  5. Step 5: Solve for x
    x = 84,416.44/252.08
  6. Step 6: Final answer
    x = 334.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.