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Finding the Fourth Proportional to 634.10, 950.92 and 223.22

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Solution

The fourth proportional to 634.10, 950.92 and 223.22 is: 334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.10 : 950.92 = 223.22 : x
  2. Step 2: Convert to fraction form
    634.10/950.92 = 223.22/x
  3. Step 3: Cross multiply
    634.10x = 950.92 × 223.22
  4. Step 4: Simplify right side
    634.10x = 212,264.36
  5. Step 5: Solve for x
    x = 212,264.36/634.10
  6. Step 6: Final answer
    x = 334.75

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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.