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Finding the Fourth Proportional to 236.93, 353.97 and 196.02

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Solution

The fourth proportional to 236.93, 353.97 and 196.02 is: 292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.93 : 353.97 = 196.02 : x
  2. Step 2: Convert to fraction form
    236.93/353.97 = 196.02/x
  3. Step 3: Cross multiply
    236.93x = 353.97 × 196.02
  4. Step 4: Simplify right side
    236.93x = 69,385.20
  5. Step 5: Solve for x
    x = 69,385.20/236.93
  6. Step 6: Final answer
    x = 292.86

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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.