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Finding the Fourth Proportional to 299.76, 449.76 and 107.40

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Solution

The fourth proportional to 299.76, 449.76 and 107.40 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.76 : 449.76 = 107.40 : x
  2. Step 2: Convert to fraction form
    299.76/449.76 = 107.40/x
  3. Step 3: Cross multiply
    299.76x = 449.76 × 107.40
  4. Step 4: Simplify right side
    299.76x = 48,304.22
  5. Step 5: Solve for x
    x = 48,304.22/299.76
  6. Step 6: Final answer
    x = 161.14

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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.