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Finding the Fourth Proportional to 353.82, 533.04 and 323.76

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Solution

The fourth proportional to 353.82, 533.04 and 323.76 is: 487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.82 : 533.04 = 323.76 : x
  2. Step 2: Convert to fraction form
    353.82/533.04 = 323.76/x
  3. Step 3: Cross multiply
    353.82x = 533.04 × 323.76
  4. Step 4: Simplify right side
    353.82x = 172,577.03
  5. Step 5: Solve for x
    x = 172,577.03/353.82
  6. Step 6: Final answer
    x = 487.75

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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.