Finding the Fourth Proportional to 75.92, 114.11 and 74.19
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Solution
The fourth proportional to 75.92, 114.11 and 74.19 is: 111.51
Step by Step Solution
- Step 1: Write the proportion equation
75.92 : 114.11 = 74.19 : x - Step 2: Convert to fraction form
75.92/114.11 = 74.19/x - Step 3: Cross multiply
75.92x = 114.11 × 74.19 - Step 4: Simplify right side
75.92x = 8,465.82 - Step 5: Solve for x
x = 8,465.82/75.92 - Step 6: Final answer
x = 111.51
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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.