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Finding the Fourth Proportional to 378.91, 522.80 and 231.49

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Solution

The fourth proportional to 378.91, 522.80 and 231.49 is: 319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.91 : 522.80 = 231.49 : x
  2. Step 2: Convert to fraction form
    378.91/522.80 = 231.49/x
  3. Step 3: Cross multiply
    378.91x = 522.80 × 231.49
  4. Step 4: Simplify right side
    378.91x = 121,024.64
  5. Step 5: Solve for x
    x = 121,024.64/378.91
  6. Step 6: Final answer
    x = 319.40

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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.