Finding the Fourth Proportional to 138.44, 207.70 and 77.68
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Solution
The fourth proportional to 138.44, 207.70 and 77.68 is: 116.54
Step by Step Solution
- Step 1: Write the proportion equation
138.44 : 207.70 = 77.68 : x - Step 2: Convert to fraction form
138.44/207.70 = 77.68/x - Step 3: Cross multiply
138.44x = 207.70 × 77.68 - Step 4: Simplify right side
138.44x = 16,134.14 - Step 5: Solve for x
x = 16,134.14/138.44 - Step 6: Final answer
x = 116.54
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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.