Finding the Fourth Proportional to 163.78, 226.08 and 98.32
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Solution
The fourth proportional to 163.78, 226.08 and 98.32 is: 135.72
Step by Step Solution
- Step 1: Write the proportion equation
163.78 : 226.08 = 98.32 : x - Step 2: Convert to fraction form
163.78/226.08 = 98.32/x - Step 3: Cross multiply
163.78x = 226.08 × 98.32 - Step 4: Simplify right side
163.78x = 22,228.19 - Step 5: Solve for x
x = 22,228.19/163.78 - Step 6: Final answer
x = 135.72
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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.