Finding the Fourth Proportional to 207.74, 286.23 and 138.62
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Solution
The fourth proportional to 207.74, 286.23 and 138.62 is: 190.99
Step by Step Solution
- Step 1: Write the proportion equation
207.74 : 286.23 = 138.62 : x - Step 2: Convert to fraction form
207.74/286.23 = 138.62/x - Step 3: Cross multiply
207.74x = 286.23 × 138.62 - Step 4: Simplify right side
207.74x = 39,677.20 - Step 5: Solve for x
x = 39,677.20/207.74 - Step 6: Final answer
x = 190.99
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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.