Finding the Fourth Proportional to 207.78, 286.77 and 145.70
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Solution
The fourth proportional to 207.78, 286.77 and 145.70 is: 201.09
Step by Step Solution
- Step 1: Write the proportion equation
207.78 : 286.77 = 145.70 : x - Step 2: Convert to fraction form
207.78/286.77 = 145.70/x - Step 3: Cross multiply
207.78x = 286.77 × 145.70 - Step 4: Simplify right side
207.78x = 41,781.76 - Step 5: Solve for x
x = 41,781.76/207.78 - Step 6: Final answer
x = 201.09
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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.