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Finding the Fourth Proportional to 633.87, 950.61 and 222.96

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Solution

The fourth proportional to 633.87, 950.61 and 222.96 is: 334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.87 : 950.61 = 222.96 : x
  2. Step 2: Convert to fraction form
    633.87/950.61 = 222.96/x
  3. Step 3: Cross multiply
    633.87x = 950.61 × 222.96
  4. Step 4: Simplify right side
    633.87x = 211,948.01
  5. Step 5: Solve for x
    x = 211,948.01/633.87
  6. Step 6: Final answer
    x = 334.37

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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.