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Finding the Fourth Proportional to 297.89, 446.79 and 190.43

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Solution

The fourth proportional to 297.89, 446.79 and 190.43 is: 285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.89 : 446.79 = 190.43 : x
  2. Step 2: Convert to fraction form
    297.89/446.79 = 190.43/x
  3. Step 3: Cross multiply
    297.89x = 446.79 × 190.43
  4. Step 4: Simplify right side
    297.89x = 85,082.22
  5. Step 5: Solve for x
    x = 85,082.22/297.89
  6. Step 6: Final answer
    x = 285.62

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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.