Finding the Fourth Proportional to 283.22, 390.84 and 157.18
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Solution
The fourth proportional to 283.22, 390.84 and 157.18 is: 216.91
Step by Step Solution
- Step 1: Write the proportion equation
283.22 : 390.84 = 157.18 : x - Step 2: Convert to fraction form
283.22/390.84 = 157.18/x - Step 3: Cross multiply
283.22x = 390.84 × 157.18 - Step 4: Simplify right side
283.22x = 61,432.13 - Step 5: Solve for x
x = 61,432.13/283.22 - Step 6: Final answer
x = 216.91
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.