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Finding the Fourth Proportional to 298.36, 449.62 and 280.12

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Solution

The fourth proportional to 298.36, 449.62 and 280.12 is: 422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.36 : 449.62 = 280.12 : x
  2. Step 2: Convert to fraction form
    298.36/449.62 = 280.12/x
  3. Step 3: Cross multiply
    298.36x = 449.62 × 280.12
  4. Step 4: Simplify right side
    298.36x = 125,947.55
  5. Step 5: Solve for x
    x = 125,947.55/298.36
  6. Step 6: Final answer
    x = 422.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.