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Finding the Fourth Proportional to 378.45, 522.24 and 238.59

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Solution

The fourth proportional to 378.45, 522.24 and 238.59 is: 329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.45 : 522.24 = 238.59 : x
  2. Step 2: Convert to fraction form
    378.45/522.24 = 238.59/x
  3. Step 3: Cross multiply
    378.45x = 522.24 × 238.59
  4. Step 4: Simplify right side
    378.45x = 124,601.24
  5. Step 5: Solve for x
    x = 124,601.24/378.45
  6. Step 6: Final answer
    x = 329.24

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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.