Finding the Fourth Proportional to 138.44, 207.65 and 47.14
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Solution
The fourth proportional to 138.44, 207.65 and 47.14 is: 70.70
Step by Step Solution
- Step 1: Write the proportion equation
138.44 : 207.65 = 47.14 : x - Step 2: Convert to fraction form
138.44/207.65 = 47.14/x - Step 3: Cross multiply
138.44x = 207.65 × 47.14 - Step 4: Simplify right side
138.44x = 9,788.22 - Step 5: Solve for x
x = 9,788.22/138.44 - Step 6: Final answer
x = 70.70
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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.