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Finding the Fourth Proportional to 378.32, 522.09 and 212.52

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Solution

The fourth proportional to 378.32, 522.09 and 212.52 is: 293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.32 : 522.09 = 212.52 : x
  2. Step 2: Convert to fraction form
    378.32/522.09 = 212.52/x
  3. Step 3: Cross multiply
    378.32x = 522.09 × 212.52
  4. Step 4: Simplify right side
    378.32x = 110,954.57
  5. Step 5: Solve for x
    x = 110,954.57/378.32
  6. Step 6: Final answer
    x = 293.29

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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.