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Finding the Fourth Proportional to 194.42, 266.73 and 189.29

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Solution

The fourth proportional to 194.42, 266.73 and 189.29 is: 259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.42 : 266.73 = 189.29 : x
  2. Step 2: Convert to fraction form
    194.42/266.73 = 189.29/x
  3. Step 3: Cross multiply
    194.42x = 266.73 × 189.29
  4. Step 4: Simplify right side
    194.42x = 50,487.99
  5. Step 5: Solve for x
    x = 50,487.99/194.42
  6. Step 6: Final answer
    x = 259.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.