Finding the Fourth Proportional to 108.64, 163.14 and 97.09
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Solution
The fourth proportional to 108.64, 163.14 and 97.09 is: 145.80
Step by Step Solution
- Step 1: Write the proportion equation
108.64 : 163.14 = 97.09 : x - Step 2: Convert to fraction form
108.64/163.14 = 97.09/x - Step 3: Cross multiply
108.64x = 163.14 × 97.09 - Step 4: Simplify right side
108.64x = 15,839.26 - Step 5: Solve for x
x = 15,839.26/108.64 - Step 6: Final answer
x = 145.80
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.