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Finding the Fourth Proportional to 299.87, 449.53 and 107.45

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Solution

The fourth proportional to 299.87, 449.53 and 107.45 is: 161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.87 : 449.53 = 107.45 : x
  2. Step 2: Convert to fraction form
    299.87/449.53 = 107.45/x
  3. Step 3: Cross multiply
    299.87x = 449.53 × 107.45
  4. Step 4: Simplify right side
    299.87x = 48,302.00
  5. Step 5: Solve for x
    x = 48,302.00/299.87
  6. Step 6: Final answer
    x = 161.08

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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.