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Finding the Fourth Proportional to 323.57, 484.82 and 254.99

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Solution

The fourth proportional to 323.57, 484.82 and 254.99 is: 382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.57 : 484.82 = 254.99 : x
  2. Step 2: Convert to fraction form
    323.57/484.82 = 254.99/x
  3. Step 3: Cross multiply
    323.57x = 484.82 × 254.99
  4. Step 4: Simplify right side
    323.57x = 123,622.98
  5. Step 5: Solve for x
    x = 123,622.98/323.57
  6. Step 6: Final answer
    x = 382.06

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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.