Finding the Fourth Proportional to 292.10, 402.98 and 167.74
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Solution
The fourth proportional to 292.10, 402.98 and 167.74 is: 231.41
Step by Step Solution
- Step 1: Write the proportion equation
292.10 : 402.98 = 167.74 : x - Step 2: Convert to fraction form
292.10/402.98 = 167.74/x - Step 3: Cross multiply
292.10x = 402.98 × 167.74 - Step 4: Simplify right side
292.10x = 67,594.02 - Step 5: Solve for x
x = 67,594.02/292.10 - Step 6: Final answer
x = 231.41
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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.