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Finding the Fourth Proportional to 634.46, 951.21 and 309.50

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Solution

The fourth proportional to 634.46, 951.21 and 309.50 is: 464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.46 : 951.21 = 309.50 : x
  2. Step 2: Convert to fraction form
    634.46/951.21 = 309.50/x
  3. Step 3: Cross multiply
    634.46x = 951.21 × 309.50
  4. Step 4: Simplify right side
    634.46x = 294,399.50
  5. Step 5: Solve for x
    x = 294,399.50/634.46
  6. Step 6: Final answer
    x = 464.02

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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.