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Finding the Fourth Proportional to 236.82, 356.63 and 206.74

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Solution

The fourth proportional to 236.82, 356.63 and 206.74 is: 311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.82 : 356.63 = 206.74 : x
  2. Step 2: Convert to fraction form
    236.82/356.63 = 206.74/x
  3. Step 3: Cross multiply
    236.82x = 356.63 × 206.74
  4. Step 4: Simplify right side
    236.82x = 73,729.69
  5. Step 5: Solve for x
    x = 73,729.69/236.82
  6. Step 6: Final answer
    x = 311.33

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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.