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Finding the Fourth Proportional to 634.17, 951.30 and 195.42

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Solution

The fourth proportional to 634.17, 951.30 and 195.42 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.17 : 951.30 = 195.42 : x
  2. Step 2: Convert to fraction form
    634.17/951.30 = 195.42/x
  3. Step 3: Cross multiply
    634.17x = 951.30 × 195.42
  4. Step 4: Simplify right side
    634.17x = 185,903.05
  5. Step 5: Solve for x
    x = 185,903.05/634.17
  6. Step 6: Final answer
    x = 293.14

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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.