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Finding the Fourth Proportional to 336.73, 464.97 and 231.78

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Solution

The fourth proportional to 336.73, 464.97 and 231.78 is: 320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.73 : 464.97 = 231.78 : x
  2. Step 2: Convert to fraction form
    336.73/464.97 = 231.78/x
  3. Step 3: Cross multiply
    336.73x = 464.97 × 231.78
  4. Step 4: Simplify right side
    336.73x = 107,770.75
  5. Step 5: Solve for x
    x = 107,770.75/336.73
  6. Step 6: Final answer
    x = 320.05

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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.