Finding the Fourth Proportional to 397.97, 597.16 and 163.88
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Solution
The fourth proportional to 397.97, 597.16 and 163.88 is: 245.90
Step by Step Solution
- Step 1: Write the proportion equation
397.97 : 597.16 = 163.88 : x - Step 2: Convert to fraction form
397.97/597.16 = 163.88/x - Step 3: Cross multiply
397.97x = 597.16 × 163.88 - Step 4: Simplify right side
397.97x = 97,862.58 - Step 5: Solve for x
x = 97,862.58/397.97 - Step 6: Final answer
x = 245.90
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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.