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Finding the Fourth Proportional to 196.83, 272.10 and 194.98

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Solution

The fourth proportional to 196.83, 272.10 and 194.98 is: 269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 272.10 = 194.98 : x
  2. Step 2: Convert to fraction form
    196.83/272.10 = 194.98/x
  3. Step 3: Cross multiply
    196.83x = 272.10 × 194.98
  4. Step 4: Simplify right side
    196.83x = 53,054.06
  5. Step 5: Solve for x
    x = 53,054.06/196.83
  6. Step 6: Final answer
    x = 269.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.