Finding the Fourth Proportional to 207.26, 286 and 119.90
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Solution
The fourth proportional to 207.26, 286 and 119.90 is: 165.45
Step by Step Solution
- Step 1: Write the proportion equation
207.26 : 286 = 119.90 : x - Step 2: Convert to fraction form
207.26/286 = 119.90/x - Step 3: Cross multiply
207.26x = 286 × 119.90 - Step 4: Simplify right side
207.26x = 34,291.40 - Step 5: Solve for x
x = 34,291.40/207.26 - Step 6: Final answer
x = 165.45
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.