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Finding the Fourth Proportional to 634.50, 952.14 and 269.46

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Solution

The fourth proportional to 634.50, 952.14 and 269.46 is: 404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 952.14 = 269.46 : x
  2. Step 2: Convert to fraction form
    634.50/952.14 = 269.46/x
  3. Step 3: Cross multiply
    634.50x = 952.14 × 269.46
  4. Step 4: Simplify right side
    634.50x = 256,563.64
  5. Step 5: Solve for x
    x = 256,563.64/634.50
  6. Step 6: Final answer
    x = 404.36

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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.