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Finding the Fourth Proportional to 196.64, 271.23 and 149.90

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Solution

The fourth proportional to 196.64, 271.23 and 149.90 is: 206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 271.23 = 149.90 : x
  2. Step 2: Convert to fraction form
    196.64/271.23 = 149.90/x
  3. Step 3: Cross multiply
    196.64x = 271.23 × 149.90
  4. Step 4: Simplify right side
    196.64x = 40,657.87
  5. Step 5: Solve for x
    x = 40,657.87/196.64
  6. Step 6: Final answer
    x = 206.76

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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.