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Finding the Fourth Proportional to 235.20, 354.78 and 231.84

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Solution

The fourth proportional to 235.20, 354.78 and 231.84 is: 349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.20 : 354.78 = 231.84 : x
  2. Step 2: Convert to fraction form
    235.20/354.78 = 231.84/x
  3. Step 3: Cross multiply
    235.20x = 354.78 × 231.84
  4. Step 4: Simplify right side
    235.20x = 82,252.20
  5. Step 5: Solve for x
    x = 82,252.20/235.20
  6. Step 6: Final answer
    x = 349.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.