Finding the Fourth Proportional to 142.48, 196.86 and 113.62
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Solution
The fourth proportional to 142.48, 196.86 and 113.62 is: 156.99
Step by Step Solution
- Step 1: Write the proportion equation
142.48 : 196.86 = 113.62 : x - Step 2: Convert to fraction form
142.48/196.86 = 113.62/x - Step 3: Cross multiply
142.48x = 196.86 × 113.62 - Step 4: Simplify right side
142.48x = 22,367.23 - Step 5: Solve for x
x = 22,367.23/142.48 - Step 6: Final answer
x = 156.99
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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.