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Finding the Fourth Proportional to 236.12, 352.65 and 214.11

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Solution

The fourth proportional to 236.12, 352.65 and 214.11 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.12 : 352.65 = 214.11 : x
  2. Step 2: Convert to fraction form
    236.12/352.65 = 214.11/x
  3. Step 3: Cross multiply
    236.12x = 352.65 × 214.11
  4. Step 4: Simplify right side
    236.12x = 75,505.89
  5. Step 5: Solve for x
    x = 75,505.89/236.12
  6. Step 6: Final answer
    x = 319.78

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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.