Finding the Fourth Proportional to 81.42, 122.26 and 77.91
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Solution
The fourth proportional to 81.42, 122.26 and 77.91 is: 116.99
Step by Step Solution
- Step 1: Write the proportion equation
81.42 : 122.26 = 77.91 : x - Step 2: Convert to fraction form
81.42/122.26 = 77.91/x - Step 3: Cross multiply
81.42x = 122.26 × 77.91 - Step 4: Simplify right side
81.42x = 9,525.07 - Step 5: Solve for x
x = 9,525.07/81.42 - Step 6: Final answer
x = 116.99
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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.