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Finding the Fourth Proportional to 323.16, 484.20 and 226.50

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Solution

The fourth proportional to 323.16, 484.20 and 226.50 is: 339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.16 : 484.20 = 226.50 : x
  2. Step 2: Convert to fraction form
    323.16/484.20 = 226.50/x
  3. Step 3: Cross multiply
    323.16x = 484.20 × 226.50
  4. Step 4: Simplify right side
    323.16x = 109,671.30
  5. Step 5: Solve for x
    x = 109,671.30/323.16
  6. Step 6: Final answer
    x = 339.37

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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.