Finding the Fourth Proportional to 116.19, 160.29 and 67.05
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Solution
The fourth proportional to 116.19, 160.29 and 67.05 is: 92.50
Step by Step Solution
- Step 1: Write the proportion equation
116.19 : 160.29 = 67.05 : x - Step 2: Convert to fraction form
116.19/160.29 = 67.05/x - Step 3: Cross multiply
116.19x = 160.29 × 67.05 - Step 4: Simplify right side
116.19x = 10,747.44 - Step 5: Solve for x
x = 10,747.44/116.19 - Step 6: Final answer
x = 92.50
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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.