Finding the Fourth Proportional to 197.24, 295.96 and 105.84
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Solution
The fourth proportional to 197.24, 295.96 and 105.84 is: 158.82
Step by Step Solution
- Step 1: Write the proportion equation
197.24 : 295.96 = 105.84 : x - Step 2: Convert to fraction form
197.24/295.96 = 105.84/x - Step 3: Cross multiply
197.24x = 295.96 × 105.84 - Step 4: Simplify right side
197.24x = 31,324.14 - Step 5: Solve for x
x = 31,324.14/197.24 - Step 6: Final answer
x = 158.82
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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.