Finding the Fourth Proportional to 207.95, 286.97 and 120.62
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Solution
The fourth proportional to 207.95, 286.97 and 120.62 is: 166.45
Step by Step Solution
- Step 1: Write the proportion equation
207.95 : 286.97 = 120.62 : x - Step 2: Convert to fraction form
207.95/286.97 = 120.62/x - Step 3: Cross multiply
207.95x = 286.97 × 120.62 - Step 4: Simplify right side
207.95x = 34,612.28 - Step 5: Solve for x
x = 34,612.28/207.95 - Step 6: Final answer
x = 166.45
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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.