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Finding the Fourth Proportional to 633.84, 950.82 and 223.21

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Solution

The fourth proportional to 633.84, 950.82 and 223.21 is: 334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.84 : 950.82 = 223.21 : x
  2. Step 2: Convert to fraction form
    633.84/950.82 = 223.21/x
  3. Step 3: Cross multiply
    633.84x = 950.82 × 223.21
  4. Step 4: Simplify right side
    633.84x = 212,232.53
  5. Step 5: Solve for x
    x = 212,232.53/633.84
  6. Step 6: Final answer
    x = 334.84

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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.