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Finding the Fourth Proportional to 300.05, 449.97 and 105.00

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Solution

The fourth proportional to 300.05, 449.97 and 105.00 is: 157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.05 : 449.97 = 105.00 : x
  2. Step 2: Convert to fraction form
    300.05/449.97 = 105.00/x
  3. Step 3: Cross multiply
    300.05x = 449.97 × 105.00
  4. Step 4: Simplify right side
    300.05x = 47,246.09
  5. Step 5: Solve for x
    x = 47,246.09/300.05
  6. Step 6: Final answer
    x = 157.46

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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.