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Finding the Fourth Proportional to 218.63, 329.41 and 197.81

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Solution

The fourth proportional to 218.63, 329.41 and 197.81 is: 298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.63 : 329.41 = 197.81 : x
  2. Step 2: Convert to fraction form
    218.63/329.41 = 197.81/x
  3. Step 3: Cross multiply
    218.63x = 329.41 × 197.81
  4. Step 4: Simplify right side
    218.63x = 65,160.92
  5. Step 5: Solve for x
    x = 65,160.92/218.63
  6. Step 6: Final answer
    x = 298.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.