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Finding the Fourth Proportional to 323.32, 485 and 306.92

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Solution

The fourth proportional to 323.32, 485 and 306.92 is: 460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 485 = 306.92 : x
  2. Step 2: Convert to fraction form
    323.32/485 = 306.92/x
  3. Step 3: Cross multiply
    323.32x = 485 × 306.92
  4. Step 4: Simplify right side
    323.32x = 148,856.20
  5. Step 5: Solve for x
    x = 148,856.20/323.32
  6. Step 6: Final answer
    x = 460.40

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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.