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Finding the Fourth Proportional to 633.01, 949.49 and 194.26

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Solution

The fourth proportional to 633.01, 949.49 and 194.26 is: 291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.01 : 949.49 = 194.26 : x
  2. Step 2: Convert to fraction form
    633.01/949.49 = 194.26/x
  3. Step 3: Cross multiply
    633.01x = 949.49 × 194.26
  4. Step 4: Simplify right side
    633.01x = 184,447.93
  5. Step 5: Solve for x
    x = 184,447.93/633.01
  6. Step 6: Final answer
    x = 291.38

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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.