Finding the Fourth Proportional to 422.74, 632.26 and 257.75
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Solution
The fourth proportional to 422.74, 632.26 and 257.75 is: 385.50
Step by Step Solution
- Step 1: Write the proportion equation
422.74 : 632.26 = 257.75 : x - Step 2: Convert to fraction form
422.74/632.26 = 257.75/x - Step 3: Cross multiply
422.74x = 632.26 × 257.75 - Step 4: Simplify right side
422.74x = 162,963.10 - Step 5: Solve for x
x = 162,963.10/422.74 - Step 6: Final answer
x = 385.50
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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.