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Finding the Fourth Proportional to 323.19, 482.43 and 280.14

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Solution

The fourth proportional to 323.19, 482.43 and 280.14 is: 418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.19 : 482.43 = 280.14 : x
  2. Step 2: Convert to fraction form
    323.19/482.43 = 280.14/x
  3. Step 3: Cross multiply
    323.19x = 482.43 × 280.14
  4. Step 4: Simplify right side
    323.19x = 135,147.94
  5. Step 5: Solve for x
    x = 135,147.94/323.19
  6. Step 6: Final answer
    x = 418.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.