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Finding the Fourth Proportional to 339.68, 511.89 and 323.21

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Solution

The fourth proportional to 339.68, 511.89 and 323.21 is: 487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.68 : 511.89 = 323.21 : x
  2. Step 2: Convert to fraction form
    339.68/511.89 = 323.21/x
  3. Step 3: Cross multiply
    339.68x = 511.89 × 323.21
  4. Step 4: Simplify right side
    339.68x = 165,445.41
  5. Step 5: Solve for x
    x = 165,445.41/339.68
  6. Step 6: Final answer
    x = 487.07

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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.