Finding the Fourth Proportional to 283.25, 424.92 and 229.79
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Solution
The fourth proportional to 283.25, 424.92 and 229.79 is: 344.72
Step by Step Solution
- Step 1: Write the proportion equation
283.25 : 424.92 = 229.79 : x - Step 2: Convert to fraction form
283.25/424.92 = 229.79/x - Step 3: Cross multiply
283.25x = 424.92 × 229.79 - Step 4: Simplify right side
283.25x = 97,640.24 - Step 5: Solve for x
x = 97,640.24/283.25 - Step 6: Final answer
x = 344.72
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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.