Finding the Fourth Proportional to 116.09, 174.28 and 70.53
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Solution
The fourth proportional to 116.09, 174.28 and 70.53 is: 105.88
Step by Step Solution
- Step 1: Write the proportion equation
116.09 : 174.28 = 70.53 : x - Step 2: Convert to fraction form
116.09/174.28 = 70.53/x - Step 3: Cross multiply
116.09x = 174.28 × 70.53 - Step 4: Simplify right side
116.09x = 12,291.27 - Step 5: Solve for x
x = 12,291.27/116.09 - Step 6: Final answer
x = 105.88
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.