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Finding the Fourth Proportional to 379.68, 522.38 and 335.22

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Solution

The fourth proportional to 379.68, 522.38 and 335.22 is: 461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.68 : 522.38 = 335.22 : x
  2. Step 2: Convert to fraction form
    379.68/522.38 = 335.22/x
  3. Step 3: Cross multiply
    379.68x = 522.38 × 335.22
  4. Step 4: Simplify right side
    379.68x = 175,112.22
  5. Step 5: Solve for x
    x = 175,112.22/379.68
  6. Step 6: Final answer
    x = 461.21

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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.