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Finding the Fourth Proportional to 196.42, 268.87 and 189.86

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Solution

The fourth proportional to 196.42, 268.87 and 189.86 is: 259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.42 : 268.87 = 189.86 : x
  2. Step 2: Convert to fraction form
    196.42/268.87 = 189.86/x
  3. Step 3: Cross multiply
    196.42x = 268.87 × 189.86
  4. Step 4: Simplify right side
    196.42x = 51,046.71
  5. Step 5: Solve for x
    x = 51,046.71/196.42
  6. Step 6: Final answer
    x = 259.89

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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.