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Finding the Fourth Proportional to 378.39, 522.42 and 308.62

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Solution

The fourth proportional to 378.39, 522.42 and 308.62 is: 426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.39 : 522.42 = 308.62 : x
  2. Step 2: Convert to fraction form
    378.39/522.42 = 308.62/x
  3. Step 3: Cross multiply
    378.39x = 522.42 × 308.62
  4. Step 4: Simplify right side
    378.39x = 161,226.65
  5. Step 5: Solve for x
    x = 161,226.65/378.39
  6. Step 6: Final answer
    x = 426.09

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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.