Finding the Fourth Proportional to 207.86, 286.97 and 164.70
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Solution
The fourth proportional to 207.86, 286.97 and 164.70 is: 227.39
Step by Step Solution
- Step 1: Write the proportion equation
207.86 : 286.97 = 164.70 : x - Step 2: Convert to fraction form
207.86/286.97 = 164.70/x - Step 3: Cross multiply
207.86x = 286.97 × 164.70 - Step 4: Simplify right side
207.86x = 47,263.14 - Step 5: Solve for x
x = 47,263.14/207.86 - Step 6: Final answer
x = 227.39
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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.