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Finding the Fourth Proportional to 439.12, 657.12 and 323.29

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Solution

The fourth proportional to 439.12, 657.12 and 323.29 is: 483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.12 : 657.12 = 323.29 : x
  2. Step 2: Convert to fraction form
    439.12/657.12 = 323.29/x
  3. Step 3: Cross multiply
    439.12x = 657.12 × 323.29
  4. Step 4: Simplify right side
    439.12x = 212,437.04
  5. Step 5: Solve for x
    x = 212,437.04/439.12
  6. Step 6: Final answer
    x = 483.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.