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Finding the Fourth Proportional to 252.06, 380.27 and 238.56

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Solution

The fourth proportional to 252.06, 380.27 and 238.56 is: 359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.06 : 380.27 = 238.56 : x
  2. Step 2: Convert to fraction form
    252.06/380.27 = 238.56/x
  3. Step 3: Cross multiply
    252.06x = 380.27 × 238.56
  4. Step 4: Simplify right side
    252.06x = 90,716.02
  5. Step 5: Solve for x
    x = 90,716.02/252.06
  6. Step 6: Final answer
    x = 359.90

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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.