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Finding the Fourth Proportional to 197.14, 271.63 and 162.05

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Solution

The fourth proportional to 197.14, 271.63 and 162.05 is: 223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 271.63 = 162.05 : x
  2. Step 2: Convert to fraction form
    197.14/271.63 = 162.05/x
  3. Step 3: Cross multiply
    197.14x = 271.63 × 162.05
  4. Step 4: Simplify right side
    197.14x = 44,015.47
  5. Step 5: Solve for x
    x = 44,015.47/197.14
  6. Step 6: Final answer
    x = 223.28

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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.