Finding the Fourth Proportional to 283.18, 424.74 and 77.77
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Solution
The fourth proportional to 283.18, 424.74 and 77.77 is: 116.65
Step by Step Solution
- Step 1: Write the proportion equation
283.18 : 424.74 = 77.77 : x - Step 2: Convert to fraction form
283.18/424.74 = 77.77/x - Step 3: Cross multiply
283.18x = 424.74 × 77.77 - Step 4: Simplify right side
283.18x = 33,032.03 - Step 5: Solve for x
x = 33,032.03/283.18 - Step 6: Final answer
x = 116.65
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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.