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Finding the Fourth Proportional to 196.98, 268.44 and 196.26

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Solution

The fourth proportional to 196.98, 268.44 and 196.26 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.98 : 268.44 = 196.26 : x
  2. Step 2: Convert to fraction form
    196.98/268.44 = 196.26/x
  3. Step 3: Cross multiply
    196.98x = 268.44 × 196.26
  4. Step 4: Simplify right side
    196.98x = 52,684.03
  5. Step 5: Solve for x
    x = 52,684.03/196.98
  6. Step 6: Final answer
    x = 267.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.