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Finding the Fourth Proportional to 252.58, 380.98 and 222.52

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Solution

The fourth proportional to 252.58, 380.98 and 222.52 is: 335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.58 : 380.98 = 222.52 : x
  2. Step 2: Convert to fraction form
    252.58/380.98 = 222.52/x
  3. Step 3: Cross multiply
    252.58x = 380.98 × 222.52
  4. Step 4: Simplify right side
    252.58x = 84,774.56
  5. Step 5: Solve for x
    x = 84,774.56/252.58
  6. Step 6: Final answer
    x = 335.63

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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.