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Finding the Fourth Proportional to 236.37, 352.86 and 205.61

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Solution

The fourth proportional to 236.37, 352.86 and 205.61 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.37 : 352.86 = 205.61 : x
  2. Step 2: Convert to fraction form
    236.37/352.86 = 205.61/x
  3. Step 3: Cross multiply
    236.37x = 352.86 × 205.61
  4. Step 4: Simplify right side
    236.37x = 72,551.54
  5. Step 5: Solve for x
    x = 72,551.54/236.37
  6. Step 6: Final answer
    x = 306.94

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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.