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Finding the Fourth Proportional to 288.48, 396.96 and 231.96

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Solution

The fourth proportional to 288.48, 396.96 and 231.96 is: 319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.48 : 396.96 = 231.96 : x
  2. Step 2: Convert to fraction form
    288.48/396.96 = 231.96/x
  3. Step 3: Cross multiply
    288.48x = 396.96 × 231.96
  4. Step 4: Simplify right side
    288.48x = 92,078.84
  5. Step 5: Solve for x
    x = 92,078.84/288.48
  6. Step 6: Final answer
    x = 319.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.