Finding the Fourth Proportional to 142.22, 196.27 and 86.99
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Solution
The fourth proportional to 142.22, 196.27 and 86.99 is: 120.05
Step by Step Solution
- Step 1: Write the proportion equation
142.22 : 196.27 = 86.99 : x - Step 2: Convert to fraction form
142.22/196.27 = 86.99/x - Step 3: Cross multiply
142.22x = 196.27 × 86.99 - Step 4: Simplify right side
142.22x = 17,073.92 - Step 5: Solve for x
x = 17,073.92/142.22 - Step 6: Final answer
x = 120.05
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.