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Finding the Fourth Proportional to 196.13, 270.87 and 149.50

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Solution

The fourth proportional to 196.13, 270.87 and 149.50 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 270.87 = 149.50 : x
  2. Step 2: Convert to fraction form
    196.13/270.87 = 149.50/x
  3. Step 3: Cross multiply
    196.13x = 270.87 × 149.50
  4. Step 4: Simplify right side
    196.13x = 40,495.07
  5. Step 5: Solve for x
    x = 40,495.07/196.13
  6. Step 6: Final answer
    x = 206.47

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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.