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Finding the Fourth Proportional to 323.29, 486.67 and 276.31

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Solution

The fourth proportional to 323.29, 486.67 and 276.31 is: 415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.29 : 486.67 = 276.31 : x
  2. Step 2: Convert to fraction form
    323.29/486.67 = 276.31/x
  3. Step 3: Cross multiply
    323.29x = 486.67 × 276.31
  4. Step 4: Simplify right side
    323.29x = 134,471.79
  5. Step 5: Solve for x
    x = 134,471.79/323.29
  6. Step 6: Final answer
    x = 415.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.