Finding the Fourth Proportional to 416.24, 622.94 and 313.26
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Solution
The fourth proportional to 416.24, 622.94 and 313.26 is: 468.82
Step by Step Solution
- Step 1: Write the proportion equation
416.24 : 622.94 = 313.26 : x - Step 2: Convert to fraction form
416.24/622.94 = 313.26/x - Step 3: Cross multiply
416.24x = 622.94 × 313.26 - Step 4: Simplify right side
416.24x = 195,140.62 - Step 5: Solve for x
x = 195,140.62/416.24 - Step 6: Final answer
x = 468.82
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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.