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Finding the Fourth Proportional to 196.04, 269.40 and 190.57

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Solution

The fourth proportional to 196.04, 269.40 and 190.57 is: 261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 269.40 = 190.57 : x
  2. Step 2: Convert to fraction form
    196.04/269.40 = 190.57/x
  3. Step 3: Cross multiply
    196.04x = 269.40 × 190.57
  4. Step 4: Simplify right side
    196.04x = 51,338.88
  5. Step 5: Solve for x
    x = 51,338.88/196.04
  6. Step 6: Final answer
    x = 261.89

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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.