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Finding the Fourth Proportional to 235.33, 352.96 and 129.82

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Solution

The fourth proportional to 235.33, 352.96 and 129.82 is: 194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.33 : 352.96 = 129.82 : x
  2. Step 2: Convert to fraction form
    235.33/352.96 = 129.82/x
  3. Step 3: Cross multiply
    235.33x = 352.96 × 129.82
  4. Step 4: Simplify right side
    235.33x = 45,821.27
  5. Step 5: Solve for x
    x = 45,821.27/235.33
  6. Step 6: Final answer
    x = 194.71

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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.