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Finding the Fourth Proportional to 635.07, 952.80 and 269.85

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Solution

The fourth proportional to 635.07, 952.80 and 269.85 is: 404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.07 : 952.80 = 269.85 : x
  2. Step 2: Convert to fraction form
    635.07/952.80 = 269.85/x
  3. Step 3: Cross multiply
    635.07x = 952.80 × 269.85
  4. Step 4: Simplify right side
    635.07x = 257,113.08
  5. Step 5: Solve for x
    x = 257,113.08/635.07
  6. Step 6: Final answer
    x = 404.86

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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.