Finding the Fourth Proportional to 207.32, 286.14 and 201.80
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Solution
The fourth proportional to 207.32, 286.14 and 201.80 is: 278.52
Step by Step Solution
- Step 1: Write the proportion equation
207.32 : 286.14 = 201.80 : x - Step 2: Convert to fraction form
207.32/286.14 = 201.80/x - Step 3: Cross multiply
207.32x = 286.14 × 201.80 - Step 4: Simplify right side
207.32x = 57,743.05 - Step 5: Solve for x
x = 57,743.05/207.32 - Step 6: Final answer
x = 278.52
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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.