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Finding the Fourth Proportional to 354.05, 533.70 and 323.29

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Solution

The fourth proportional to 354.05, 533.70 and 323.29 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.05 : 533.70 = 323.29 : x
  2. Step 2: Convert to fraction form
    354.05/533.70 = 323.29/x
  3. Step 3: Cross multiply
    354.05x = 533.70 × 323.29
  4. Step 4: Simplify right side
    354.05x = 172,540.54
  5. Step 5: Solve for x
    x = 172,540.54/354.05
  6. Step 6: Final answer
    x = 487.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.