Finding the Fourth Proportional to 116.27, 160.28 and 83.06
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Solution
The fourth proportional to 116.27, 160.28 and 83.06 is: 114.49
Step by Step Solution
- Step 1: Write the proportion equation
116.27 : 160.28 = 83.06 : x - Step 2: Convert to fraction form
116.27/160.28 = 83.06/x - Step 3: Cross multiply
116.27x = 160.28 × 83.06 - Step 4: Simplify right side
116.27x = 13,311.64 - Step 5: Solve for x
x = 13,311.64/116.27 - Step 6: Final answer
x = 114.49
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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.