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Finding the Fourth Proportional to 323.79, 484.57 and 280.25

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Solution

The fourth proportional to 323.79, 484.57 and 280.25 is: 419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.79 : 484.57 = 280.25 : x
  2. Step 2: Convert to fraction form
    323.79/484.57 = 280.25/x
  3. Step 3: Cross multiply
    323.79x = 484.57 × 280.25
  4. Step 4: Simplify right side
    323.79x = 135,798.91
  5. Step 5: Solve for x
    x = 135,798.91/323.79
  6. Step 6: Final answer
    x = 419.41

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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.