Finding the Fourth Proportional to 138.08, 207.16 and 122.24
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Solution
The fourth proportional to 138.08, 207.16 and 122.24 is: 183.40
Step by Step Solution
- Step 1: Write the proportion equation
138.08 : 207.16 = 122.24 : x - Step 2: Convert to fraction form
138.08/207.16 = 122.24/x - Step 3: Cross multiply
138.08x = 207.16 × 122.24 - Step 4: Simplify right side
138.08x = 25,323.24 - Step 5: Solve for x
x = 25,323.24/138.08 - Step 6: Final answer
x = 183.40
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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.