Finding the Fourth Proportional to 280.41, 420.62 and 74.99
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Solution
The fourth proportional to 280.41, 420.62 and 74.99 is: 112.49
Step by Step Solution
- Step 1: Write the proportion equation
280.41 : 420.62 = 74.99 : x - Step 2: Convert to fraction form
280.41/420.62 = 74.99/x - Step 3: Cross multiply
280.41x = 420.62 × 74.99 - Step 4: Simplify right side
280.41x = 31,542.97 - Step 5: Solve for x
x = 31,542.97/280.41 - Step 6: Final answer
x = 112.49
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.