Finding the Fourth Proportional to 122.36, 183.69 and 102.02
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Solution
The fourth proportional to 122.36, 183.69 and 102.02 is: 153.16
Step by Step Solution
- Step 1: Write the proportion equation
122.36 : 183.69 = 102.02 : x - Step 2: Convert to fraction form
122.36/183.69 = 102.02/x - Step 3: Cross multiply
122.36x = 183.69 × 102.02 - Step 4: Simplify right side
122.36x = 18,740.05 - Step 5: Solve for x
x = 18,740.05/122.36 - Step 6: Final answer
x = 153.16
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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.