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Finding the Fourth Proportional to 266.36, 367.68 and 196.44

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Solution

The fourth proportional to 266.36, 367.68 and 196.44 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.36 : 367.68 = 196.44 : x
  2. Step 2: Convert to fraction form
    266.36/367.68 = 196.44/x
  3. Step 3: Cross multiply
    266.36x = 367.68 × 196.44
  4. Step 4: Simplify right side
    266.36x = 72,227.06
  5. Step 5: Solve for x
    x = 72,227.06/266.36
  6. Step 6: Final answer
    x = 271.16

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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.