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Finding the Fourth Proportional to 299.82, 447.44 and 260.94

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Solution

The fourth proportional to 299.82, 447.44 and 260.94 is: 389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.82 : 447.44 = 260.94 : x
  2. Step 2: Convert to fraction form
    299.82/447.44 = 260.94/x
  3. Step 3: Cross multiply
    299.82x = 447.44 × 260.94
  4. Step 4: Simplify right side
    299.82x = 116,753.69
  5. Step 5: Solve for x
    x = 116,753.69/299.82
  6. Step 6: Final answer
    x = 389.41

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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.