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Finding the Fourth Proportional to 238.52, 357.66 and 94.22

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Solution

The fourth proportional to 238.52, 357.66 and 94.22 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 357.66 = 94.22 : x
  2. Step 2: Convert to fraction form
    238.52/357.66 = 94.22/x
  3. Step 3: Cross multiply
    238.52x = 357.66 × 94.22
  4. Step 4: Simplify right side
    238.52x = 33,698.73
  5. Step 5: Solve for x
    x = 33,698.73/238.52
  6. Step 6: Final answer
    x = 141.28

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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.