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Finding the Fourth Proportional to 378.42, 522.09 and 231.09

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Solution

The fourth proportional to 378.42, 522.09 and 231.09 is: 318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.42 : 522.09 = 231.09 : x
  2. Step 2: Convert to fraction form
    378.42/522.09 = 231.09/x
  3. Step 3: Cross multiply
    378.42x = 522.09 × 231.09
  4. Step 4: Simplify right side
    378.42x = 120,649.78
  5. Step 5: Solve for x
    x = 120,649.78/378.42
  6. Step 6: Final answer
    x = 318.83

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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.