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Finding the Fourth Proportional to 300.78, 449.82 and 190.82

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Solution

The fourth proportional to 300.78, 449.82 and 190.82 is: 285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 449.82 = 190.82 : x
  2. Step 2: Convert to fraction form
    300.78/449.82 = 190.82/x
  3. Step 3: Cross multiply
    300.78x = 449.82 × 190.82
  4. Step 4: Simplify right side
    300.78x = 85,835.78
  5. Step 5: Solve for x
    x = 85,835.78/300.78
  6. Step 6: Final answer
    x = 285.38

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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.