Finding the Fourth Proportional to 140.13, 193.64 and 122.09
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Solution
The fourth proportional to 140.13, 193.64 and 122.09 is: 168.70
Step by Step Solution
- Step 1: Write the proportion equation
140.13 : 193.64 = 122.09 : x - Step 2: Convert to fraction form
140.13/193.64 = 122.09/x - Step 3: Cross multiply
140.13x = 193.64 × 122.09 - Step 4: Simplify right side
140.13x = 23,639.93 - Step 5: Solve for x
x = 23,639.93/140.13 - Step 6: Final answer
x = 168.70
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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.