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Finding the Fourth Proportional to 236.96, 327.12 and 178.82

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Solution

The fourth proportional to 236.96, 327.12 and 178.82 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.96 : 327.12 = 178.82 : x
  2. Step 2: Convert to fraction form
    236.96/327.12 = 178.82/x
  3. Step 3: Cross multiply
    236.96x = 327.12 × 178.82
  4. Step 4: Simplify right side
    236.96x = 58,495.60
  5. Step 5: Solve for x
    x = 58,495.60/236.96
  6. Step 6: Final answer
    x = 246.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.