Finding the Fourth Proportional to 207.23, 310.05 and 205.75
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Solution
The fourth proportional to 207.23, 310.05 and 205.75 is: 307.84
Step by Step Solution
- Step 1: Write the proportion equation
207.23 : 310.05 = 205.75 : x - Step 2: Convert to fraction form
207.23/310.05 = 205.75/x - Step 3: Cross multiply
207.23x = 310.05 × 205.75 - Step 4: Simplify right side
207.23x = 63,792.79 - Step 5: Solve for x
x = 63,792.79/207.23 - Step 6: Final answer
x = 307.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.