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Finding the Fourth Proportional to 323.12, 485.47 and 207.61

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Solution

The fourth proportional to 323.12, 485.47 and 207.61 is: 311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 485.47 = 207.61 : x
  2. Step 2: Convert to fraction form
    323.12/485.47 = 207.61/x
  3. Step 3: Cross multiply
    323.12x = 485.47 × 207.61
  4. Step 4: Simplify right side
    323.12x = 100,788.43
  5. Step 5: Solve for x
    x = 100,788.43/323.12
  6. Step 6: Final answer
    x = 311.92

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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.