Finding the Fourth Proportional to 207.96, 286.96 and 119.43
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Solution
The fourth proportional to 207.96, 286.96 and 119.43 is: 164.80
Step by Step Solution
- Step 1: Write the proportion equation
207.96 : 286.96 = 119.43 : x - Step 2: Convert to fraction form
207.96/286.96 = 119.43/x - Step 3: Cross multiply
207.96x = 286.96 × 119.43 - Step 4: Simplify right side
207.96x = 34,271.63 - Step 5: Solve for x
x = 34,271.63/207.96 - Step 6: Final answer
x = 164.80
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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.