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Finding the Fourth Proportional to 323.40, 485.04 and 92.25

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Solution

The fourth proportional to 323.40, 485.04 and 92.25 is: 138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.40 : 485.04 = 92.25 : x
  2. Step 2: Convert to fraction form
    323.40/485.04 = 92.25/x
  3. Step 3: Cross multiply
    323.40x = 485.04 × 92.25
  4. Step 4: Simplify right side
    323.40x = 44,744.94
  5. Step 5: Solve for x
    x = 44,744.94/323.40
  6. Step 6: Final answer
    x = 138.36

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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.