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Finding the Fourth Proportional to 300.48, 447.12 and 280.08

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Solution

The fourth proportional to 300.48, 447.12 and 280.08 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.48 : 447.12 = 280.08 : x
  2. Step 2: Convert to fraction form
    300.48/447.12 = 280.08/x
  3. Step 3: Cross multiply
    300.48x = 447.12 × 280.08
  4. Step 4: Simplify right side
    300.48x = 125,229.37
  5. Step 5: Solve for x
    x = 125,229.37/300.48
  6. Step 6: Final answer
    x = 416.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.