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Finding the Fourth Proportional to 349.30, 521.42 and 323.97

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Solution

The fourth proportional to 349.30, 521.42 and 323.97 is: 483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.30 : 521.42 = 323.97 : x
  2. Step 2: Convert to fraction form
    349.30/521.42 = 323.97/x
  3. Step 3: Cross multiply
    349.30x = 521.42 × 323.97
  4. Step 4: Simplify right side
    349.30x = 168,924.44
  5. Step 5: Solve for x
    x = 168,924.44/349.30
  6. Step 6: Final answer
    x = 483.61

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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.