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Finding the Fourth Proportional to 378.39, 522.30 and 238.74

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Solution

The fourth proportional to 378.39, 522.30 and 238.74 is: 329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.39 : 522.30 = 238.74 : x
  2. Step 2: Convert to fraction form
    378.39/522.30 = 238.74/x
  3. Step 3: Cross multiply
    378.39x = 522.30 × 238.74
  4. Step 4: Simplify right side
    378.39x = 124,691.94
  5. Step 5: Solve for x
    x = 124,691.94/378.39
  6. Step 6: Final answer
    x = 329.54

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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.