Finding the Fourth Proportional to 307.97, 462.15 and 163.79
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Solution
The fourth proportional to 307.97, 462.15 and 163.79 is: 245.79
Step by Step Solution
- Step 1: Write the proportion equation
307.97 : 462.15 = 163.79 : x - Step 2: Convert to fraction form
307.97/462.15 = 163.79/x - Step 3: Cross multiply
307.97x = 462.15 × 163.79 - Step 4: Simplify right side
307.97x = 75,693.24 - Step 5: Solve for x
x = 75,693.24/307.97 - Step 6: Final answer
x = 245.79
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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.