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Finding the Fourth Proportional to 285.67, 427.92 and 199

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Solution

The fourth proportional to 285.67, 427.92 and 199 is: 298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.67 : 427.92 = 199 : x
  2. Step 2: Convert to fraction form
    285.67/427.92 = 199/x
  3. Step 3: Cross multiply
    285.67x = 427.92 × 199
  4. Step 4: Simplify right side
    285.67x = 85,156.08
  5. Step 5: Solve for x
    x = 85,156.08/285.67
  6. Step 6: Final answer
    x = 298.09

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Why These Related Problems?

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