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Finding the Fourth Proportional to 634.28, 950.68 and 308.92

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Solution

The fourth proportional to 634.28, 950.68 and 308.92 is: 463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.28 : 950.68 = 308.92 : x
  2. Step 2: Convert to fraction form
    634.28/950.68 = 308.92/x
  3. Step 3: Cross multiply
    634.28x = 950.68 × 308.92
  4. Step 4: Simplify right side
    634.28x = 293,684.07
  5. Step 5: Solve for x
    x = 293,684.07/634.28
  6. Step 6: Final answer
    x = 463.02

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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.