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Finding the Fourth Proportional to 323.52, 485.27 and 266.28

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Solution

The fourth proportional to 323.52, 485.27 and 266.28 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.52 : 485.27 = 266.28 : x
  2. Step 2: Convert to fraction form
    323.52/485.27 = 266.28/x
  3. Step 3: Cross multiply
    323.52x = 485.27 × 266.28
  4. Step 4: Simplify right side
    323.52x = 129,221.14
  5. Step 5: Solve for x
    x = 129,221.14/323.52
  6. Step 6: Final answer
    x = 399.43

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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.