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Finding the Fourth Proportional to 236.10, 324.16 and 217.68

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Solution

The fourth proportional to 236.10, 324.16 and 217.68 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.10 : 324.16 = 217.68 : x
  2. Step 2: Convert to fraction form
    236.10/324.16 = 217.68/x
  3. Step 3: Cross multiply
    236.10x = 324.16 × 217.68
  4. Step 4: Simplify right side
    236.10x = 70,563.15
  5. Step 5: Solve for x
    x = 70,563.15/236.10
  6. Step 6: Final answer
    x = 298.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.