Finding the Fourth Proportional to 163.09, 224.99 and 142.36
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Solution
The fourth proportional to 163.09, 224.99 and 142.36 is: 196.41
Step by Step Solution
- Step 1: Write the proportion equation
163.09 : 224.99 = 142.36 : x - Step 2: Convert to fraction form
163.09/224.99 = 142.36/x - Step 3: Cross multiply
163.09x = 224.99 × 142.36 - Step 4: Simplify right side
163.09x = 32,030.90 - Step 5: Solve for x
x = 32,030.90/163.09 - Step 6: Final answer
x = 196.41
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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.