Finding the Fourth Proportional to 207.74, 286.21 and 137.67
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Solution
The fourth proportional to 207.74, 286.21 and 137.67 is: 189.68
Step by Step Solution
- Step 1: Write the proportion equation
207.74 : 286.21 = 137.67 : x - Step 2: Convert to fraction form
207.74/286.21 = 137.67/x - Step 3: Cross multiply
207.74x = 286.21 × 137.67 - Step 4: Simplify right side
207.74x = 39,402.19 - Step 5: Solve for x
x = 39,402.19/207.74 - Step 6: Final answer
x = 189.68
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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.