Finding the Fourth Proportional to 305.73, 421.83 and 207.75
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Solution
The fourth proportional to 305.73, 421.83 and 207.75 is: 286.64
Step by Step Solution
- Step 1: Write the proportion equation
305.73 : 421.83 = 207.75 : x - Step 2: Convert to fraction form
305.73/421.83 = 207.75/x - Step 3: Cross multiply
305.73x = 421.83 × 207.75 - Step 4: Simplify right side
305.73x = 87,635.18 - Step 5: Solve for x
x = 87,635.18/305.73 - Step 6: Final answer
x = 286.64
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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.