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Finding the Fourth Proportional to 235.24, 352.78 and 81.16

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Solution

The fourth proportional to 235.24, 352.78 and 81.16 is: 121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.24 : 352.78 = 81.16 : x
  2. Step 2: Convert to fraction form
    235.24/352.78 = 81.16/x
  3. Step 3: Cross multiply
    235.24x = 352.78 × 81.16
  4. Step 4: Simplify right side
    235.24x = 28,630.54
  5. Step 5: Solve for x
    x = 28,630.54/235.24
  6. Step 6: Final answer
    x = 121.71

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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.