Finding the Fourth Proportional to 201.97, 278.71 and 114.63
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Solution
The fourth proportional to 201.97, 278.71 and 114.63 is: 158.19
Step by Step Solution
- Step 1: Write the proportion equation
201.97 : 278.71 = 114.63 : x - Step 2: Convert to fraction form
201.97/278.71 = 114.63/x - Step 3: Cross multiply
201.97x = 278.71 × 114.63 - Step 4: Simplify right side
201.97x = 31,948.24 - Step 5: Solve for x
x = 31,948.24/201.97 - Step 6: Final answer
x = 158.19
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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.