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Finding the Fourth Proportional to 197.05, 295.37 and 81.56

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Solution

The fourth proportional to 197.05, 295.37 and 81.56 is: 122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.05 : 295.37 = 81.56 : x
  2. Step 2: Convert to fraction form
    197.05/295.37 = 81.56/x
  3. Step 3: Cross multiply
    197.05x = 295.37 × 81.56
  4. Step 4: Simplify right side
    197.05x = 24,089.81
  5. Step 5: Solve for x
    x = 24,089.81/197.05
  6. Step 6: Final answer
    x = 122.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.