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Finding the Fourth Proportional to 238.67, 357.76 and 92.38

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Solution

The fourth proportional to 238.67, 357.76 and 92.38 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.67 : 357.76 = 92.38 : x
  2. Step 2: Convert to fraction form
    238.67/357.76 = 92.38/x
  3. Step 3: Cross multiply
    238.67x = 357.76 × 92.38
  4. Step 4: Simplify right side
    238.67x = 33,049.87
  5. Step 5: Solve for x
    x = 33,049.87/238.67
  6. Step 6: Final answer
    x = 138.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.