Finding the Fourth Proportional to 163.96, 226.53 and 162.74
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Solution
The fourth proportional to 163.96, 226.53 and 162.74 is: 224.85
Step by Step Solution
- Step 1: Write the proportion equation
163.96 : 226.53 = 162.74 : x - Step 2: Convert to fraction form
163.96/226.53 = 162.74/x - Step 3: Cross multiply
163.96x = 226.53 × 162.74 - Step 4: Simplify right side
163.96x = 36,866.06 - Step 5: Solve for x
x = 36,866.06/163.96 - Step 6: Final answer
x = 224.85
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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.