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Finding the Fourth Proportional to 323.89, 486.29 and 247.80

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Solution

The fourth proportional to 323.89, 486.29 and 247.80 is: 372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.89 : 486.29 = 247.80 : x
  2. Step 2: Convert to fraction form
    323.89/486.29 = 247.80/x
  3. Step 3: Cross multiply
    323.89x = 486.29 × 247.80
  4. Step 4: Simplify right side
    323.89x = 120,502.66
  5. Step 5: Solve for x
    x = 120,502.66/323.89
  6. Step 6: Final answer
    x = 372.05

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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.