Finding the Fourth Proportional to 197.41, 295.99 and 75.68
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Solution
The fourth proportional to 197.41, 295.99 and 75.68 is: 113.47
Step by Step Solution
- Step 1: Write the proportion equation
197.41 : 295.99 = 75.68 : x - Step 2: Convert to fraction form
197.41/295.99 = 75.68/x - Step 3: Cross multiply
197.41x = 295.99 × 75.68 - Step 4: Simplify right side
197.41x = 22,399.04 - Step 5: Solve for x
x = 22,399.04/197.41 - Step 6: Final answer
x = 113.47
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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.