Finding the Fourth Proportional to 208.15, 287.52 and 159.63
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Solution
The fourth proportional to 208.15, 287.52 and 159.63 is: 220.50
Step by Step Solution
- Step 1: Write the proportion equation
208.15 : 287.52 = 159.63 : x - Step 2: Convert to fraction form
208.15/287.52 = 159.63/x - Step 3: Cross multiply
208.15x = 287.52 × 159.63 - Step 4: Simplify right side
208.15x = 45,897.30 - Step 5: Solve for x
x = 45,897.30/208.15 - Step 6: Final answer
x = 220.50
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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.