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Finding the Fourth Proportional to 323.20, 483.96 and 269.36

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Solution

The fourth proportional to 323.20, 483.96 and 269.36 is: 403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 483.96 = 269.36 : x
  2. Step 2: Convert to fraction form
    323.20/483.96 = 269.36/x
  3. Step 3: Cross multiply
    323.20x = 483.96 × 269.36
  4. Step 4: Simplify right side
    323.20x = 130,359.47
  5. Step 5: Solve for x
    x = 130,359.47/323.20
  6. Step 6: Final answer
    x = 403.34

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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.