Finding the Fourth Proportional to 163.77, 226.08 and 105.63
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Solution
The fourth proportional to 163.77, 226.08 and 105.63 is: 145.82
Step by Step Solution
- Step 1: Write the proportion equation
163.77 : 226.08 = 105.63 : x - Step 2: Convert to fraction form
163.77/226.08 = 105.63/x - Step 3: Cross multiply
163.77x = 226.08 × 105.63 - Step 4: Simplify right side
163.77x = 23,880.83 - Step 5: Solve for x
x = 23,880.83/163.77 - Step 6: Final answer
x = 145.82
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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.