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Finding the Fourth Proportional to 218.68, 329.63 and 196.36

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Solution

The fourth proportional to 218.68, 329.63 and 196.36 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.68 : 329.63 = 196.36 : x
  2. Step 2: Convert to fraction form
    218.68/329.63 = 196.36/x
  3. Step 3: Cross multiply
    218.68x = 329.63 × 196.36
  4. Step 4: Simplify right side
    218.68x = 64,724.34
  5. Step 5: Solve for x
    x = 64,724.34/218.68
  6. Step 6: Final answer
    x = 295.98

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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.