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Finding the Fourth Proportional to 197.19, 295.71 and 105.87

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Solution

The fourth proportional to 197.19, 295.71 and 105.87 is: 158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.19 : 295.71 = 105.87 : x
  2. Step 2: Convert to fraction form
    197.19/295.71 = 105.87/x
  3. Step 3: Cross multiply
    197.19x = 295.71 × 105.87
  4. Step 4: Simplify right side
    197.19x = 31,306.82
  5. Step 5: Solve for x
    x = 31,306.82/197.19
  6. Step 6: Final answer
    x = 158.76

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