Finding the Fourth Proportional to 116.06, 174.24 and 70.49
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Solution
The fourth proportional to 116.06, 174.24 and 70.49 is: 105.82
Step by Step Solution
- Step 1: Write the proportion equation
116.06 : 174.24 = 70.49 : x - Step 2: Convert to fraction form
116.06/174.24 = 70.49/x - Step 3: Cross multiply
116.06x = 174.24 × 70.49 - Step 4: Simplify right side
116.06x = 12,281.31 - Step 5: Solve for x
x = 12,281.31/116.06 - Step 6: Final answer
x = 105.82
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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.