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Finding the Fourth Proportional to 323.52, 445.44 and 280.32

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Solution

The fourth proportional to 323.52, 445.44 and 280.32 is: 385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.52 : 445.44 = 280.32 : x
  2. Step 2: Convert to fraction form
    323.52/445.44 = 280.32/x
  3. Step 3: Cross multiply
    323.52x = 445.44 × 280.32
  4. Step 4: Simplify right side
    323.52x = 124,865.74
  5. Step 5: Solve for x
    x = 124,865.74/323.52
  6. Step 6: Final answer
    x = 385.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.