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Finding the Fourth Proportional to 198.88, 296.80 and 172.96

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Solution

The fourth proportional to 198.88, 296.80 and 172.96 is: 258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 296.80 = 172.96 : x
  2. Step 2: Convert to fraction form
    198.88/296.80 = 172.96/x
  3. Step 3: Cross multiply
    198.88x = 296.80 × 172.96
  4. Step 4: Simplify right side
    198.88x = 51,334.53
  5. Step 5: Solve for x
    x = 51,334.53/198.88
  6. Step 6: Final answer
    x = 258.12

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