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Finding the Fourth Proportional to 196.74, 270.78 and 150.03

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Solution

The fourth proportional to 196.74, 270.78 and 150.03 is: 206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 270.78 = 150.03 : x
  2. Step 2: Convert to fraction form
    196.74/270.78 = 150.03/x
  3. Step 3: Cross multiply
    196.74x = 270.78 × 150.03
  4. Step 4: Simplify right side
    196.74x = 40,625.12
  5. Step 5: Solve for x
    x = 40,625.12/196.74
  6. Step 6: Final answer
    x = 206.49

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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.