Finding the Fourth Proportional to 306.36, 422.10 and 202.68
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Solution
The fourth proportional to 306.36, 422.10 and 202.68 is: 279.25
Step by Step Solution
- Step 1: Write the proportion equation
306.36 : 422.10 = 202.68 : x - Step 2: Convert to fraction form
306.36/422.10 = 202.68/x - Step 3: Cross multiply
306.36x = 422.10 × 202.68 - Step 4: Simplify right side
306.36x = 85,551.23 - Step 5: Solve for x
x = 85,551.23/306.36 - Step 6: Final answer
x = 279.25
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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.