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Finding the Fourth Proportional to 252.78, 380.98 and 238.65

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Solution

The fourth proportional to 252.78, 380.98 and 238.65 is: 359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.78 : 380.98 = 238.65 : x
  2. Step 2: Convert to fraction form
    252.78/380.98 = 238.65/x
  3. Step 3: Cross multiply
    252.78x = 380.98 × 238.65
  4. Step 4: Simplify right side
    252.78x = 90,920.15
  5. Step 5: Solve for x
    x = 90,920.15/252.78
  6. Step 6: Final answer
    x = 359.68

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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.