Finding the Fourth Proportional to 197.21, 295.70 and 105.68
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Solution
The fourth proportional to 197.21, 295.70 and 105.68 is: 158.45
Step by Step Solution
- Step 1: Write the proportion equation
197.21 : 295.70 = 105.68 : x - Step 2: Convert to fraction form
197.21/295.70 = 105.68/x - Step 3: Cross multiply
197.21x = 295.70 × 105.68 - Step 4: Simplify right side
197.21x = 31,247.57 - Step 5: Solve for x
x = 31,247.57/197.21 - Step 6: Final answer
x = 158.45
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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.