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Finding the Fourth Proportional to 197.59, 270.14 and 190.03

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Solution

The fourth proportional to 197.59, 270.14 and 190.03 is: 259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.59 : 270.14 = 190.03 : x
  2. Step 2: Convert to fraction form
    197.59/270.14 = 190.03/x
  3. Step 3: Cross multiply
    197.59x = 270.14 × 190.03
  4. Step 4: Simplify right side
    197.59x = 51,334.70
  5. Step 5: Solve for x
    x = 51,334.70/197.59
  6. Step 6: Final answer
    x = 259.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.