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Finding the Fourth Proportional to 235.30, 352.38 and 119.44

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Solution

The fourth proportional to 235.30, 352.38 and 119.44 is: 178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.30 : 352.38 = 119.44 : x
  2. Step 2: Convert to fraction form
    235.30/352.38 = 119.44/x
  3. Step 3: Cross multiply
    235.30x = 352.38 × 119.44
  4. Step 4: Simplify right side
    235.30x = 42,088.27
  5. Step 5: Solve for x
    x = 42,088.27/235.30
  6. Step 6: Final answer
    x = 178.87

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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.