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Finding the Fourth Proportional to 298.56, 449.67 and 226.92

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Solution

The fourth proportional to 298.56, 449.67 and 226.92 is: 341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.56 : 449.67 = 226.92 : x
  2. Step 2: Convert to fraction form
    298.56/449.67 = 226.92/x
  3. Step 3: Cross multiply
    298.56x = 449.67 × 226.92
  4. Step 4: Simplify right side
    298.56x = 102,039.12
  5. Step 5: Solve for x
    x = 102,039.12/298.56
  6. Step 6: Final answer
    x = 341.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.