Finding the Fourth Proportional to 138.08, 207.25 and 107.84
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Solution
The fourth proportional to 138.08, 207.25 and 107.84 is: 161.86
Step by Step Solution
- Step 1: Write the proportion equation
138.08 : 207.25 = 107.84 : x - Step 2: Convert to fraction form
138.08/207.25 = 107.84/x - Step 3: Cross multiply
138.08x = 207.25 × 107.84 - Step 4: Simplify right side
138.08x = 22,350.09 - Step 5: Solve for x
x = 22,350.09/138.08 - Step 6: Final answer
x = 161.86
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.