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Finding the Fourth Proportional to 196.88, 271.94 and 147.98

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Solution

The fourth proportional to 196.88, 271.94 and 147.98 is: 204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.88 : 271.94 = 147.98 : x
  2. Step 2: Convert to fraction form
    196.88/271.94 = 147.98/x
  3. Step 3: Cross multiply
    196.88x = 271.94 × 147.98
  4. Step 4: Simplify right side
    196.88x = 40,241.68
  5. Step 5: Solve for x
    x = 40,241.68/196.88
  6. Step 6: Final answer
    x = 204.40

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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.