Finding the Fourth Proportional to 306.91, 423.63 and 202.08
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Solution
The fourth proportional to 306.91, 423.63 and 202.08 is: 278.92
Step by Step Solution
- Step 1: Write the proportion equation
306.91 : 423.63 = 202.08 : x - Step 2: Convert to fraction form
306.91/423.63 = 202.08/x - Step 3: Cross multiply
306.91x = 423.63 × 202.08 - Step 4: Simplify right side
306.91x = 85,604.02 - Step 5: Solve for x
x = 85,604.02/306.91 - Step 6: Final answer
x = 278.92
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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.