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Finding the Fourth Proportional to 299.21, 447.62 and 257.73

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Solution

The fourth proportional to 299.21, 447.62 and 257.73 is: 385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.21 : 447.62 = 257.73 : x
  2. Step 2: Convert to fraction form
    299.21/447.62 = 257.73/x
  3. Step 3: Cross multiply
    299.21x = 447.62 × 257.73
  4. Step 4: Simplify right side
    299.21x = 115,363.81
  5. Step 5: Solve for x
    x = 115,363.81/299.21
  6. Step 6: Final answer
    x = 385.57

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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.