Finding the Fourth Proportional to 354.49, 489.19 and 199.24
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Solution
The fourth proportional to 354.49, 489.19 and 199.24 is: 274.95
Step by Step Solution
- Step 1: Write the proportion equation
354.49 : 489.19 = 199.24 : x - Step 2: Convert to fraction form
354.49/489.19 = 199.24/x - Step 3: Cross multiply
354.49x = 489.19 × 199.24 - Step 4: Simplify right side
354.49x = 97,466.22 - Step 5: Solve for x
x = 97,466.22/354.49 - Step 6: Final answer
x = 274.95
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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.