Finding the Fourth Proportional to 122.08, 183.08 and 36.58
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Solution
The fourth proportional to 122.08, 183.08 and 36.58 is: 54.86
Step by Step Solution
- Step 1: Write the proportion equation
122.08 : 183.08 = 36.58 : x - Step 2: Convert to fraction form
122.08/183.08 = 36.58/x - Step 3: Cross multiply
122.08x = 183.08 × 36.58 - Step 4: Simplify right side
122.08x = 6,697.07 - Step 5: Solve for x
x = 6,697.07/122.08 - Step 6: Final answer
x = 54.86
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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.