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Finding the Fourth Proportional to 196.58, 269.49 and 196.34

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Solution

The fourth proportional to 196.58, 269.49 and 196.34 is: 269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.58 : 269.49 = 196.34 : x
  2. Step 2: Convert to fraction form
    196.58/269.49 = 196.34/x
  3. Step 3: Cross multiply
    196.58x = 269.49 × 196.34
  4. Step 4: Simplify right side
    196.58x = 52,910.32
  5. Step 5: Solve for x
    x = 52,910.32/196.58
  6. Step 6: Final answer
    x = 269.16

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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.