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Finding the Fourth Proportional to 378.88, 522.84 and 213.06

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Solution

The fourth proportional to 378.88, 522.84 and 213.06 is: 294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.88 : 522.84 = 213.06 : x
  2. Step 2: Convert to fraction form
    378.88/522.84 = 213.06/x
  3. Step 3: Cross multiply
    378.88x = 522.84 × 213.06
  4. Step 4: Simplify right side
    378.88x = 111,396.29
  5. Step 5: Solve for x
    x = 111,396.29/378.88
  6. Step 6: Final answer
    x = 294.01

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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.