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Finding the Fourth Proportional to 218.42, 329.24 and 196.10

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Solution

The fourth proportional to 218.42, 329.24 and 196.10 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.42 : 329.24 = 196.10 : x
  2. Step 2: Convert to fraction form
    218.42/329.24 = 196.10/x
  3. Step 3: Cross multiply
    218.42x = 329.24 × 196.10
  4. Step 4: Simplify right side
    218.42x = 64,563.96
  5. Step 5: Solve for x
    x = 64,563.96/218.42
  6. Step 6: Final answer
    x = 295.60

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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.