Finding the Fourth Proportional to 290.23, 399.70 and 202.75
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Solution
The fourth proportional to 290.23, 399.70 and 202.75 is: 279.22
Step by Step Solution
- Step 1: Write the proportion equation
290.23 : 399.70 = 202.75 : x - Step 2: Convert to fraction form
290.23/399.70 = 202.75/x - Step 3: Cross multiply
290.23x = 399.70 × 202.75 - Step 4: Simplify right side
290.23x = 81,039.18 - Step 5: Solve for x
x = 81,039.18/290.23 - Step 6: Final answer
x = 279.22
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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.