Finding the Fourth Proportional to 121.21, 181.62 and 77.74
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Solution
The fourth proportional to 121.21, 181.62 and 77.74 is: 116.48
Step by Step Solution
- Step 1: Write the proportion equation
121.21 : 181.62 = 77.74 : x - Step 2: Convert to fraction form
121.21/181.62 = 77.74/x - Step 3: Cross multiply
121.21x = 181.62 × 77.74 - Step 4: Simplify right side
121.21x = 14,119.14 - Step 5: Solve for x
x = 14,119.14/121.21 - Step 6: Final answer
x = 116.48
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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.