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Finding the Fourth Proportional to 323.59, 485.37 and 225.81

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Solution

The fourth proportional to 323.59, 485.37 and 225.81 is: 338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.59 : 485.37 = 225.81 : x
  2. Step 2: Convert to fraction form
    323.59/485.37 = 225.81/x
  3. Step 3: Cross multiply
    323.59x = 485.37 × 225.81
  4. Step 4: Simplify right side
    323.59x = 109,601.40
  5. Step 5: Solve for x
    x = 109,601.40/323.59
  6. Step 6: Final answer
    x = 338.70

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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.