Finding the Fourth Proportional to 263.80, 363.99 and 201.52
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Solution
The fourth proportional to 263.80, 363.99 and 201.52 is: 278.06
Step by Step Solution
- Step 1: Write the proportion equation
263.80 : 363.99 = 201.52 : x - Step 2: Convert to fraction form
263.80/363.99 = 201.52/x - Step 3: Cross multiply
263.80x = 363.99 × 201.52 - Step 4: Simplify right side
263.80x = 73,351.26 - Step 5: Solve for x
x = 73,351.26/263.80 - Step 6: Final answer
x = 278.06
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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.