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Finding the Fourth Proportional to 236.64, 324.78 and 217.20

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Solution

The fourth proportional to 236.64, 324.78 and 217.20 is: 298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.64 : 324.78 = 217.20 : x
  2. Step 2: Convert to fraction form
    236.64/324.78 = 217.20/x
  3. Step 3: Cross multiply
    236.64x = 324.78 × 217.20
  4. Step 4: Simplify right side
    236.64x = 70,542.22
  5. Step 5: Solve for x
    x = 70,542.22/236.64
  6. Step 6: Final answer
    x = 298.10

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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.