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Finding the Fourth Proportional to 297.80, 447.47 and 280.31

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Solution

The fourth proportional to 297.80, 447.47 and 280.31 is: 421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.80 : 447.47 = 280.31 : x
  2. Step 2: Convert to fraction form
    297.80/447.47 = 280.31/x
  3. Step 3: Cross multiply
    297.80x = 447.47 × 280.31
  4. Step 4: Simplify right side
    297.80x = 125,426.68
  5. Step 5: Solve for x
    x = 125,426.68/297.80
  6. Step 6: Final answer
    x = 421.18

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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.