Finding the Fourth Proportional to 76.44, 114 and 71.99
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Solution
The fourth proportional to 76.44, 114 and 71.99 is: 107.36
Step by Step Solution
- Step 1: Write the proportion equation
76.44 : 114 = 71.99 : x - Step 2: Convert to fraction form
76.44/114 = 71.99/x - Step 3: Cross multiply
76.44x = 114 × 71.99 - Step 4: Simplify right side
76.44x = 8,206.29 - Step 5: Solve for x
x = 8,206.29/76.44 - Step 6: Final answer
x = 107.36
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.