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Finding the Fourth Proportional to 378.29, 522 and 212.49

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Solution

The fourth proportional to 378.29, 522 and 212.49 is: 293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.29 : 522 = 212.49 : x
  2. Step 2: Convert to fraction form
    378.29/522 = 212.49/x
  3. Step 3: Cross multiply
    378.29x = 522 × 212.49
  4. Step 4: Simplify right side
    378.29x = 110,919.78
  5. Step 5: Solve for x
    x = 110,919.78/378.29
  6. Step 6: Final answer
    x = 293.21

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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.