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Finding the Fourth Proportional to 300.29, 449.91 and 190.33

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Solution

The fourth proportional to 300.29, 449.91 and 190.33 is: 285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.29 : 449.91 = 190.33 : x
  2. Step 2: Convert to fraction form
    300.29/449.91 = 190.33/x
  3. Step 3: Cross multiply
    300.29x = 449.91 × 190.33
  4. Step 4: Simplify right side
    300.29x = 85,630.25
  5. Step 5: Solve for x
    x = 85,630.25/300.29
  6. Step 6: Final answer
    x = 285.16

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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.