Finding the Fourth Proportional to 129.97, 194.64 and 74.96
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Solution
The fourth proportional to 129.97, 194.64 and 74.96 is: 112.25
Step by Step Solution
- Step 1: Write the proportion equation
129.97 : 194.64 = 74.96 : x - Step 2: Convert to fraction form
129.97/194.64 = 74.96/x - Step 3: Cross multiply
129.97x = 194.64 × 74.96 - Step 4: Simplify right side
129.97x = 14,589.24 - Step 5: Solve for x
x = 14,589.24/129.97 - Step 6: Final answer
x = 112.25
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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.