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Finding the Fourth Proportional to 236.86, 357.05 and 196.54

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Solution

The fourth proportional to 236.86, 357.05 and 196.54 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.86 : 357.05 = 196.54 : x
  2. Step 2: Convert to fraction form
    236.86/357.05 = 196.54/x
  3. Step 3: Cross multiply
    236.86x = 357.05 × 196.54
  4. Step 4: Simplify right side
    236.86x = 70,174.61
  5. Step 5: Solve for x
    x = 70,174.61/236.86
  6. Step 6: Final answer
    x = 296.27

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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.