Finding the Fourth Proportional to 162.31, 243.35 and 139.75
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Solution
The fourth proportional to 162.31, 243.35 and 139.75 is: 209.52
Step by Step Solution
- Step 1: Write the proportion equation
162.31 : 243.35 = 139.75 : x - Step 2: Convert to fraction form
162.31/243.35 = 139.75/x - Step 3: Cross multiply
162.31x = 243.35 × 139.75 - Step 4: Simplify right side
162.31x = 34,007.46 - Step 5: Solve for x
x = 34,007.46/162.31 - Step 6: Final answer
x = 209.52
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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.