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Finding the Fourth Proportional to 236.14, 352.72 and 199.69

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Solution

The fourth proportional to 236.14, 352.72 and 199.69 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.14 : 352.72 = 199.69 : x
  2. Step 2: Convert to fraction form
    236.14/352.72 = 199.69/x
  3. Step 3: Cross multiply
    236.14x = 352.72 × 199.69
  4. Step 4: Simplify right side
    236.14x = 70,433.66
  5. Step 5: Solve for x
    x = 70,433.66/236.14
  6. Step 6: Final answer
    x = 298.27

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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.