Finding the Fourth Proportional to 80.62, 120.27 and 78.09
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Solution
The fourth proportional to 80.62, 120.27 and 78.09 is: 116.50
Step by Step Solution
- Step 1: Write the proportion equation
80.62 : 120.27 = 78.09 : x - Step 2: Convert to fraction form
80.62/120.27 = 78.09/x - Step 3: Cross multiply
80.62x = 120.27 × 78.09 - Step 4: Simplify right side
80.62x = 9,391.88 - Step 5: Solve for x
x = 9,391.88/80.62 - Step 6: Final answer
x = 116.50
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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.