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Finding the Fourth Proportional to 196.77, 271.23 and 149.99

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Solution

The fourth proportional to 196.77, 271.23 and 149.99 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.77 : 271.23 = 149.99 : x
  2. Step 2: Convert to fraction form
    196.77/271.23 = 149.99/x
  3. Step 3: Cross multiply
    196.77x = 271.23 × 149.99
  4. Step 4: Simplify right side
    196.77x = 40,681.79
  5. Step 5: Solve for x
    x = 40,681.79/196.77
  6. Step 6: Final answer
    x = 206.75

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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.