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Finding the Fourth Proportional to 299.31, 448.85 and 106.95

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Solution

The fourth proportional to 299.31, 448.85 and 106.95 is: 160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.31 : 448.85 = 106.95 : x
  2. Step 2: Convert to fraction form
    299.31/448.85 = 106.95/x
  3. Step 3: Cross multiply
    299.31x = 448.85 × 106.95
  4. Step 4: Simplify right side
    299.31x = 48,003.97
  5. Step 5: Solve for x
    x = 48,003.97/299.31
  6. Step 6: Final answer
    x = 160.38

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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.