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Finding the Fourth Proportional to 323.21, 485.15 and 201.56

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Solution

The fourth proportional to 323.21, 485.15 and 201.56 is: 302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.21 : 485.15 = 201.56 : x
  2. Step 2: Convert to fraction form
    323.21/485.15 = 201.56/x
  3. Step 3: Cross multiply
    323.21x = 485.15 × 201.56
  4. Step 4: Simplify right side
    323.21x = 97,784.91
  5. Step 5: Solve for x
    x = 97,784.91/323.21
  6. Step 6: Final answer
    x = 302.55

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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.