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Finding the Fourth Proportional to 635.37, 952.81 and 306.30

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Solution

The fourth proportional to 635.37, 952.81 and 306.30 is: 459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.37 : 952.81 = 306.30 : x
  2. Step 2: Convert to fraction form
    635.37/952.81 = 306.30/x
  3. Step 3: Cross multiply
    635.37x = 952.81 × 306.30
  4. Step 4: Simplify right side
    635.37x = 291,845.70
  5. Step 5: Solve for x
    x = 291,845.70/635.37
  6. Step 6: Final answer
    x = 459.33

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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.