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Finding the Fourth Proportional to 197.20, 271.98 and 119.50

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Solution

The fourth proportional to 197.20, 271.98 and 119.50 is: 164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.20 : 271.98 = 119.50 : x
  2. Step 2: Convert to fraction form
    197.20/271.98 = 119.50/x
  3. Step 3: Cross multiply
    197.20x = 271.98 × 119.50
  4. Step 4: Simplify right side
    197.20x = 32,501.61
  5. Step 5: Solve for x
    x = 32,501.61/197.20
  6. Step 6: Final answer
    x = 164.82

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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.