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Finding the Fourth Proportional to 299.70, 447.37 and 263.25

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Solution

The fourth proportional to 299.70, 447.37 and 263.25 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.70 : 447.37 = 263.25 : x
  2. Step 2: Convert to fraction form
    299.70/447.37 = 263.25/x
  3. Step 3: Cross multiply
    299.70x = 447.37 × 263.25
  4. Step 4: Simplify right side
    299.70x = 117,770.98
  5. Step 5: Solve for x
    x = 117,770.98/299.70
  6. Step 6: Final answer
    x = 392.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.