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Finding the Fourth Proportional to 235.44, 352.88 and 119.72

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Solution

The fourth proportional to 235.44, 352.88 and 119.72 is: 179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.44 : 352.88 = 119.72 : x
  2. Step 2: Convert to fraction form
    235.44/352.88 = 119.72/x
  3. Step 3: Cross multiply
    235.44x = 352.88 × 119.72
  4. Step 4: Simplify right side
    235.44x = 42,245.38
  5. Step 5: Solve for x
    x = 42,245.38/235.44
  6. Step 6: Final answer
    x = 179.43

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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.