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Finding the Fourth Proportional to 634.28, 951.90 and 309.92

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Solution

The fourth proportional to 634.28, 951.90 and 309.92 is: 465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.28 : 951.90 = 309.92 : x
  2. Step 2: Convert to fraction form
    634.28/951.90 = 309.92/x
  3. Step 3: Cross multiply
    634.28x = 951.90 × 309.92
  4. Step 4: Simplify right side
    634.28x = 295,012.85
  5. Step 5: Solve for x
    x = 295,012.85/634.28
  6. Step 6: Final answer
    x = 465.11

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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.