Finding the Fourth Proportional to 160.16, 220.96 and 97.96
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Solution
The fourth proportional to 160.16, 220.96 and 97.96 is: 135.15
Step by Step Solution
- Step 1: Write the proportion equation
160.16 : 220.96 = 97.96 : x - Step 2: Convert to fraction form
160.16/220.96 = 97.96/x - Step 3: Cross multiply
160.16x = 220.96 × 97.96 - Step 4: Simplify right side
160.16x = 21,645.24 - Step 5: Solve for x
x = 21,645.24/160.16 - Step 6: Final answer
x = 135.15
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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.