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Finding the Fourth Proportional to 634.22, 951.29 and 305.40

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Solution

The fourth proportional to 634.22, 951.29 and 305.40 is: 458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.22 : 951.29 = 305.40 : x
  2. Step 2: Convert to fraction form
    634.22/951.29 = 305.40/x
  3. Step 3: Cross multiply
    634.22x = 951.29 × 305.40
  4. Step 4: Simplify right side
    634.22x = 290,523.97
  5. Step 5: Solve for x
    x = 290,523.97/634.22
  6. Step 6: Final answer
    x = 458.08

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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.