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Finding the Fourth Proportional to 236.20, 352.62 and 199.74

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Solution

The fourth proportional to 236.20, 352.62 and 199.74 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.20 : 352.62 = 199.74 : x
  2. Step 2: Convert to fraction form
    236.20/352.62 = 199.74/x
  3. Step 3: Cross multiply
    236.20x = 352.62 × 199.74
  4. Step 4: Simplify right side
    236.20x = 70,431.32
  5. Step 5: Solve for x
    x = 70,431.32/236.20
  6. Step 6: Final answer
    x = 298.19

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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.