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Finding the Fourth Proportional to 298.23, 447.29 and 115.64

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Solution

The fourth proportional to 298.23, 447.29 and 115.64 is: 173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.23 : 447.29 = 115.64 : x
  2. Step 2: Convert to fraction form
    298.23/447.29 = 115.64/x
  3. Step 3: Cross multiply
    298.23x = 447.29 × 115.64
  4. Step 4: Simplify right side
    298.23x = 51,724.62
  5. Step 5: Solve for x
    x = 51,724.62/298.23
  6. Step 6: Final answer
    x = 173.44

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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.