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Finding the Fourth Proportional to 378.34, 522.12 and 221.07

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Solution

The fourth proportional to 378.34, 522.12 and 221.07 is: 305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.34 : 522.12 = 221.07 : x
  2. Step 2: Convert to fraction form
    378.34/522.12 = 221.07/x
  3. Step 3: Cross multiply
    378.34x = 522.12 × 221.07
  4. Step 4: Simplify right side
    378.34x = 115,425.07
  5. Step 5: Solve for x
    x = 115,425.07/378.34
  6. Step 6: Final answer
    x = 305.09

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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.