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Finding the Fourth Proportional to 378.96, 523 and 231.69

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Solution

The fourth proportional to 378.96, 523 and 231.69 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.96 : 523 = 231.69 : x
  2. Step 2: Convert to fraction form
    378.96/523 = 231.69/x
  3. Step 3: Cross multiply
    378.96x = 523 × 231.69
  4. Step 4: Simplify right side
    378.96x = 121,173.87
  5. Step 5: Solve for x
    x = 121,173.87/378.96
  6. Step 6: Final answer
    x = 319.75

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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.