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Finding the Fourth Proportional to 196.59, 268.77 and 189.03

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Solution

The fourth proportional to 196.59, 268.77 and 189.03 is: 258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 268.77 = 189.03 : x
  2. Step 2: Convert to fraction form
    196.59/268.77 = 189.03/x
  3. Step 3: Cross multiply
    196.59x = 268.77 × 189.03
  4. Step 4: Simplify right side
    196.59x = 50,805.59
  5. Step 5: Solve for x
    x = 50,805.59/196.59
  6. Step 6: Final answer
    x = 258.43

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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.