Finding the Fourth Proportional to 306.08, 422.24 and 207.84
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Solution
The fourth proportional to 306.08, 422.24 and 207.84 is: 286.72
Step by Step Solution
- Step 1: Write the proportion equation
306.08 : 422.24 = 207.84 : x - Step 2: Convert to fraction form
306.08/422.24 = 207.84/x - Step 3: Cross multiply
306.08x = 422.24 × 207.84 - Step 4: Simplify right side
306.08x = 87,758.36 - Step 5: Solve for x
x = 87,758.36/306.08 - Step 6: Final answer
x = 286.72
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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.