Finding the Fourth Proportional to 137.70, 207.36 and 110.70
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Solution
The fourth proportional to 137.70, 207.36 and 110.70 is: 166.70
Step by Step Solution
- Step 1: Write the proportion equation
137.70 : 207.36 = 110.70 : x - Step 2: Convert to fraction form
137.70/207.36 = 110.70/x - Step 3: Cross multiply
137.70x = 207.36 × 110.70 - Step 4: Simplify right side
137.70x = 22,954.75 - Step 5: Solve for x
x = 22,954.75/137.70 - Step 6: Final answer
x = 166.70
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.