Finding the Fourth Proportional to 283.07, 424.49 and 97.99
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Solution
The fourth proportional to 283.07, 424.49 and 97.99 is: 146.95
Step by Step Solution
- Step 1: Write the proportion equation
283.07 : 424.49 = 97.99 : x - Step 2: Convert to fraction form
283.07/424.49 = 97.99/x - Step 3: Cross multiply
283.07x = 424.49 × 97.99 - Step 4: Simplify right side
283.07x = 41,595.78 - Step 5: Solve for x
x = 41,595.78/283.07 - Step 6: Final answer
x = 146.95
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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.