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Finding the Fourth Proportional to 235.71, 352.26 and 191.88

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Solution

The fourth proportional to 235.71, 352.26 and 191.88 is: 286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.71 : 352.26 = 191.88 : x
  2. Step 2: Convert to fraction form
    235.71/352.26 = 191.88/x
  3. Step 3: Cross multiply
    235.71x = 352.26 × 191.88
  4. Step 4: Simplify right side
    235.71x = 67,591.65
  5. Step 5: Solve for x
    x = 67,591.65/235.71
  6. Step 6: Final answer
    x = 286.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.