Finding the Fourth Proportional to 203.53, 280.91 and 159.18
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Solution
The fourth proportional to 203.53, 280.91 and 159.18 is: 219.71
Step by Step Solution
- Step 1: Write the proportion equation
203.53 : 280.91 = 159.18 : x - Step 2: Convert to fraction form
203.53/280.91 = 159.18/x - Step 3: Cross multiply
203.53x = 280.91 × 159.18 - Step 4: Simplify right side
203.53x = 44,717.19 - Step 5: Solve for x
x = 44,717.19/203.53 - Step 6: Final answer
x = 219.71
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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.