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Finding the Fourth Proportional to 236.97, 327.02 and 214.56

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Solution

The fourth proportional to 236.97, 327.02 and 214.56 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.97 : 327.02 = 214.56 : x
  2. Step 2: Convert to fraction form
    236.97/327.02 = 214.56/x
  3. Step 3: Cross multiply
    236.97x = 327.02 × 214.56
  4. Step 4: Simplify right side
    236.97x = 70,164.34
  5. Step 5: Solve for x
    x = 70,164.34/236.97
  6. Step 6: Final answer
    x = 296.09

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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.