Finding the Fourth Proportional to 280.60, 420.90 and 97.99
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Solution
The fourth proportional to 280.60, 420.90 and 97.99 is: 146.99
Step by Step Solution
- Step 1: Write the proportion equation
280.60 : 420.90 = 97.99 : x - Step 2: Convert to fraction form
280.60/420.90 = 97.99/x - Step 3: Cross multiply
280.60x = 420.90 × 97.99 - Step 4: Simplify right side
280.60x = 41,243.99 - Step 5: Solve for x
x = 41,243.99/280.60 - Step 6: Final answer
x = 146.99
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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.