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Finding the Fourth Proportional to 198.66, 295.97 and 192.15

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Solution

The fourth proportional to 198.66, 295.97 and 192.15 is: 286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.66 : 295.97 = 192.15 : x
  2. Step 2: Convert to fraction form
    198.66/295.97 = 192.15/x
  3. Step 3: Cross multiply
    198.66x = 295.97 × 192.15
  4. Step 4: Simplify right side
    198.66x = 56,869.67
  5. Step 5: Solve for x
    x = 56,869.67/198.66
  6. Step 6: Final answer
    x = 286.27

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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.