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Finding the Fourth Proportional to 323.35, 442.37 and 322.44

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Solution

The fourth proportional to 323.35, 442.37 and 322.44 is: 441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.35 : 442.37 = 322.44 : x
  2. Step 2: Convert to fraction form
    323.35/442.37 = 322.44/x
  3. Step 3: Cross multiply
    323.35x = 442.37 × 322.44
  4. Step 4: Simplify right side
    323.35x = 142,637.78
  5. Step 5: Solve for x
    x = 142,637.78/323.35
  6. Step 6: Final answer
    x = 441.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.