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Finding the Fourth Proportional to 635.20, 952.80 and 310.28

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Solution

The fourth proportional to 635.20, 952.80 and 310.28 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.20 : 952.80 = 310.28 : x
  2. Step 2: Convert to fraction form
    635.20/952.80 = 310.28/x
  3. Step 3: Cross multiply
    635.20x = 952.80 × 310.28
  4. Step 4: Simplify right side
    635.20x = 295,634.78
  5. Step 5: Solve for x
    x = 295,634.78/635.20
  6. Step 6: Final answer
    x = 465.42

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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.