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Finding the Fourth Proportional to 197.37, 270.54 and 190.08

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Solution

The fourth proportional to 197.37, 270.54 and 190.08 is: 260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.37 : 270.54 = 190.08 : x
  2. Step 2: Convert to fraction form
    197.37/270.54 = 190.08/x
  3. Step 3: Cross multiply
    197.37x = 270.54 × 190.08
  4. Step 4: Simplify right side
    197.37x = 51,424.24
  5. Step 5: Solve for x
    x = 51,424.24/197.37
  6. Step 6: Final answer
    x = 260.55

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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.