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Finding the Fourth Proportional to 378.22, 521.94 and 212.44

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Solution

The fourth proportional to 378.22, 521.94 and 212.44 is: 293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.22 : 521.94 = 212.44 : x
  2. Step 2: Convert to fraction form
    378.22/521.94 = 212.44/x
  3. Step 3: Cross multiply
    378.22x = 521.94 × 212.44
  4. Step 4: Simplify right side
    378.22x = 110,880.93
  5. Step 5: Solve for x
    x = 110,880.93/378.22
  6. Step 6: Final answer
    x = 293.17

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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.