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Finding the Fourth Proportional to 198.80, 296.04 and 193.68

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Solution

The fourth proportional to 198.80, 296.04 and 193.68 is: 288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 296.04 = 193.68 : x
  2. Step 2: Convert to fraction form
    198.80/296.04 = 193.68/x
  3. Step 3: Cross multiply
    198.80x = 296.04 × 193.68
  4. Step 4: Simplify right side
    198.80x = 57,334.58
  5. Step 5: Solve for x
    x = 57,334.58/198.80
  6. Step 6: Final answer
    x = 288.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.