Finding the Fourth Proportional to 234.78, 324 and 157.26
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Solution
The fourth proportional to 234.78, 324 and 157.26 is: 217.02
Step by Step Solution
- Step 1: Write the proportion equation
234.78 : 324 = 157.26 : x - Step 2: Convert to fraction form
234.78/324 = 157.26/x - Step 3: Cross multiply
234.78x = 324 × 157.26 - Step 4: Simplify right side
234.78x = 50,952.24 - Step 5: Solve for x
x = 50,952.24/234.78 - Step 6: Final answer
x = 217.02
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.