Finding the Fourth Proportional to 354.96, 489.84 and 199.68
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Solution
The fourth proportional to 354.96, 489.84 and 199.68 is: 275.56
Step by Step Solution
- Step 1: Write the proportion equation
354.96 : 489.84 = 199.68 : x - Step 2: Convert to fraction form
354.96/489.84 = 199.68/x - Step 3: Cross multiply
354.96x = 489.84 × 199.68 - Step 4: Simplify right side
354.96x = 97,811.25 - Step 5: Solve for x
x = 97,811.25/354.96 - Step 6: Final answer
x = 275.56
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.