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Finding the Fourth Proportional to 323.35, 444.84 and 285.82

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Solution

The fourth proportional to 323.35, 444.84 and 285.82 is: 393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.35 : 444.84 = 285.82 : x
  2. Step 2: Convert to fraction form
    323.35/444.84 = 285.82/x
  3. Step 3: Cross multiply
    323.35x = 444.84 × 285.82
  4. Step 4: Simplify right side
    323.35x = 127,144.17
  5. Step 5: Solve for x
    x = 127,144.17/323.35
  6. Step 6: Final answer
    x = 393.21

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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.