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Finding the Fourth Proportional to 635.11, 952.66 and 270.20

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Solution

The fourth proportional to 635.11, 952.66 and 270.20 is: 405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.11 : 952.66 = 270.20 : x
  2. Step 2: Convert to fraction form
    635.11/952.66 = 270.20/x
  3. Step 3: Cross multiply
    635.11x = 952.66 × 270.20
  4. Step 4: Simplify right side
    635.11x = 257,408.73
  5. Step 5: Solve for x
    x = 257,408.73/635.11
  6. Step 6: Final answer
    x = 405.30

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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.