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Finding the Fourth Proportional to 300.72, 451.20 and 281.28

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Solution

The fourth proportional to 300.72, 451.20 and 281.28 is: 422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.72 : 451.20 = 281.28 : x
  2. Step 2: Convert to fraction form
    300.72/451.20 = 281.28/x
  3. Step 3: Cross multiply
    300.72x = 451.20 × 281.28
  4. Step 4: Simplify right side
    300.72x = 126,913.54
  5. Step 5: Solve for x
    x = 126,913.54/300.72
  6. Step 6: Final answer
    x = 422.03

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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.