Finding the Fourth Proportional to 277.40, 382.64 and 178.99
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Solution
The fourth proportional to 277.40, 382.64 and 178.99 is: 246.89
Step by Step Solution
- Step 1: Write the proportion equation
277.40 : 382.64 = 178.99 : x - Step 2: Convert to fraction form
277.40/382.64 = 178.99/x - Step 3: Cross multiply
277.40x = 382.64 × 178.99 - Step 4: Simplify right side
277.40x = 68,488.22 - Step 5: Solve for x
x = 68,488.22/277.40 - Step 6: Final answer
x = 246.89
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.