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Finding the Fourth Proportional to 236.93, 356.77 and 206.85

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Solution

The fourth proportional to 236.93, 356.77 and 206.85 is: 311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.93 : 356.77 = 206.85 : x
  2. Step 2: Convert to fraction form
    236.93/356.77 = 206.85/x
  3. Step 3: Cross multiply
    236.93x = 356.77 × 206.85
  4. Step 4: Simplify right side
    236.93x = 73,799.47
  5. Step 5: Solve for x
    x = 73,799.47/236.93
  6. Step 6: Final answer
    x = 311.49

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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.