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Finding the Fourth Proportional to 196.94, 271.77 and 108.42

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Solution

The fourth proportional to 196.94, 271.77 and 108.42 is: 149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.94 : 271.77 = 108.42 : x
  2. Step 2: Convert to fraction form
    196.94/271.77 = 108.42/x
  3. Step 3: Cross multiply
    196.94x = 271.77 × 108.42
  4. Step 4: Simplify right side
    196.94x = 29,465.71
  5. Step 5: Solve for x
    x = 29,465.71/196.94
  6. Step 6: Final answer
    x = 149.62

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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.