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Finding the Fourth Proportional to 323.98, 486.16 and 251.98

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Solution

The fourth proportional to 323.98, 486.16 and 251.98 is: 378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.98 : 486.16 = 251.98 : x
  2. Step 2: Convert to fraction form
    323.98/486.16 = 251.98/x
  3. Step 3: Cross multiply
    323.98x = 486.16 × 251.98
  4. Step 4: Simplify right side
    323.98x = 122,502.60
  5. Step 5: Solve for x
    x = 122,502.60/323.98
  6. Step 6: Final answer
    x = 378.12

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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.