Finding the Fourth Proportional to 116.24, 160.41 and 63.78
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Solution
The fourth proportional to 116.24, 160.41 and 63.78 is: 88.02
Step by Step Solution
- Step 1: Write the proportion equation
116.24 : 160.41 = 63.78 : x - Step 2: Convert to fraction form
116.24/160.41 = 63.78/x - Step 3: Cross multiply
116.24x = 160.41 × 63.78 - Step 4: Simplify right side
116.24x = 10,231.31 - Step 5: Solve for x
x = 10,231.31/116.24 - Step 6: Final answer
x = 88.02
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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.