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Finding the Fourth Proportional to 635, 952.08 and 361.22

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Solution

The fourth proportional to 635, 952.08 and 361.22 is: 541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635 : 952.08 = 361.22 : x
  2. Step 2: Convert to fraction form
    635/952.08 = 361.22/x
  3. Step 3: Cross multiply
    635x = 952.08 × 361.22
  4. Step 4: Simplify right side
    635x = 343,910.34
  5. Step 5: Solve for x
    x = 343,910.34/635
  6. Step 6: Final answer
    x = 541.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.