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Finding the Fourth Proportional to 286.68, 428.82 and 199.80

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Solution

The fourth proportional to 286.68, 428.82 and 199.80 is: 298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.68 : 428.82 = 199.80 : x
  2. Step 2: Convert to fraction form
    286.68/428.82 = 199.80/x
  3. Step 3: Cross multiply
    286.68x = 428.82 × 199.80
  4. Step 4: Simplify right side
    286.68x = 85,678.24
  5. Step 5: Solve for x
    x = 85,678.24/286.68
  6. Step 6: Final answer
    x = 298.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.