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Finding the Fourth Proportional to 323.97, 485.85 and 194.04

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Solution

The fourth proportional to 323.97, 485.85 and 194.04 is: 291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.97 : 485.85 = 194.04 : x
  2. Step 2: Convert to fraction form
    323.97/485.85 = 194.04/x
  3. Step 3: Cross multiply
    323.97x = 485.85 × 194.04
  4. Step 4: Simplify right side
    323.97x = 94,274.33
  5. Step 5: Solve for x
    x = 94,274.33/323.97
  6. Step 6: Final answer
    x = 291.00

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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.