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Finding the Fourth Proportional to 634.99, 952.57 and 224.05

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Solution

The fourth proportional to 634.99, 952.57 and 224.05 is: 336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.99 : 952.57 = 224.05 : x
  2. Step 2: Convert to fraction form
    634.99/952.57 = 224.05/x
  3. Step 3: Cross multiply
    634.99x = 952.57 × 224.05
  4. Step 4: Simplify right side
    634.99x = 213,418.55
  5. Step 5: Solve for x
    x = 213,418.55/634.99
  6. Step 6: Final answer
    x = 336.10

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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.