Finding the Fourth Proportional to 207.23, 286.34 and 201.76
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Solution
The fourth proportional to 207.23, 286.34 and 201.76 is: 278.78
Step by Step Solution
- Step 1: Write the proportion equation
207.23 : 286.34 = 201.76 : x - Step 2: Convert to fraction form
207.23/286.34 = 201.76/x - Step 3: Cross multiply
207.23x = 286.34 × 201.76 - Step 4: Simplify right side
207.23x = 57,770.23 - Step 5: Solve for x
x = 57,770.23/207.23 - Step 6: Final answer
x = 278.78
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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.