Finding the Fourth Proportional to 305.71, 422.08 and 193.73
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Solution
The fourth proportional to 305.71, 422.08 and 193.73 is: 267.47
Step by Step Solution
- Step 1: Write the proportion equation
305.71 : 422.08 = 193.73 : x - Step 2: Convert to fraction form
305.71/422.08 = 193.73/x - Step 3: Cross multiply
305.71x = 422.08 × 193.73 - Step 4: Simplify right side
305.71x = 81,766.96 - Step 5: Solve for x
x = 81,766.96/305.71 - Step 6: Final answer
x = 267.47
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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.