Finding the Fourth Proportional to 207.76, 286.68 and 114.49
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Solution
The fourth proportional to 207.76, 286.68 and 114.49 is: 157.98
Step by Step Solution
- Step 1: Write the proportion equation
207.76 : 286.68 = 114.49 : x - Step 2: Convert to fraction form
207.76/286.68 = 114.49/x - Step 3: Cross multiply
207.76x = 286.68 × 114.49 - Step 4: Simplify right side
207.76x = 32,821.99 - Step 5: Solve for x
x = 32,821.99/207.76 - Step 6: Final answer
x = 157.98
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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.