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Finding the Fourth Proportional to 218.80, 329.94 and 193.20

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Solution

The fourth proportional to 218.80, 329.94 and 193.20 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.80 : 329.94 = 193.20 : x
  2. Step 2: Convert to fraction form
    218.80/329.94 = 193.20/x
  3. Step 3: Cross multiply
    218.80x = 329.94 × 193.20
  4. Step 4: Simplify right side
    218.80x = 63,744.41
  5. Step 5: Solve for x
    x = 63,744.41/218.80
  6. Step 6: Final answer
    x = 291.34

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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.