Finding the Fourth Proportional to 204.06, 305.65 and 122.70
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Solution
The fourth proportional to 204.06, 305.65 and 122.70 is: 183.79
Step by Step Solution
- Step 1: Write the proportion equation
204.06 : 305.65 = 122.70 : x - Step 2: Convert to fraction form
204.06/305.65 = 122.70/x - Step 3: Cross multiply
204.06x = 305.65 × 122.70 - Step 4: Simplify right side
204.06x = 37,503.26 - Step 5: Solve for x
x = 37,503.26/204.06 - Step 6: Final answer
x = 183.79
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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.