Finding the Fourth Proportional to 163.04, 224.84 and 107.78
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Solution
The fourth proportional to 163.04, 224.84 and 107.78 is: 148.63
Step by Step Solution
- Step 1: Write the proportion equation
163.04 : 224.84 = 107.78 : x - Step 2: Convert to fraction form
163.04/224.84 = 107.78/x - Step 3: Cross multiply
163.04x = 224.84 × 107.78 - Step 4: Simplify right side
163.04x = 24,233.26 - Step 5: Solve for x
x = 24,233.26/163.04 - Step 6: Final answer
x = 148.63
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.