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Finding the Fourth Proportional to 336.75, 464.31 and 231.86

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Solution

The fourth proportional to 336.75, 464.31 and 231.86 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.75 : 464.31 = 231.86 : x
  2. Step 2: Convert to fraction form
    336.75/464.31 = 231.86/x
  3. Step 3: Cross multiply
    336.75x = 464.31 × 231.86
  4. Step 4: Simplify right side
    336.75x = 107,654.92
  5. Step 5: Solve for x
    x = 107,654.92/336.75
  6. Step 6: Final answer
    x = 319.69

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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.