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Finding the Fourth Proportional to 196.75, 271.50 and 109.43

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Solution

The fourth proportional to 196.75, 271.50 and 109.43 is: 151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.75 : 271.50 = 109.43 : x
  2. Step 2: Convert to fraction form
    196.75/271.50 = 109.43/x
  3. Step 3: Cross multiply
    196.75x = 271.50 × 109.43
  4. Step 4: Simplify right side
    196.75x = 29,708.89
  5. Step 5: Solve for x
    x = 29,708.89/196.75
  6. Step 6: Final answer
    x = 151.00

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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.