Finding the Fourth Proportional to 163.07, 245.09 and 77.63
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Solution
The fourth proportional to 163.07, 245.09 and 77.63 is: 116.67
Step by Step Solution
- Step 1: Write the proportion equation
163.07 : 245.09 = 77.63 : x - Step 2: Convert to fraction form
163.07/245.09 = 77.63/x - Step 3: Cross multiply
163.07x = 245.09 × 77.63 - Step 4: Simplify right side
163.07x = 19,025.95 - Step 5: Solve for x
x = 19,025.95/163.07 - Step 6: Final answer
x = 116.67
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.