Finding the Fourth Proportional to 157.41, 216.99 and 102.13
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Solution
The fourth proportional to 157.41, 216.99 and 102.13 is: 140.79
Step by Step Solution
- Step 1: Write the proportion equation
157.41 : 216.99 = 102.13 : x - Step 2: Convert to fraction form
157.41/216.99 = 102.13/x - Step 3: Cross multiply
157.41x = 216.99 × 102.13 - Step 4: Simplify right side
157.41x = 22,161.19 - Step 5: Solve for x
x = 22,161.19/157.41 - Step 6: Final answer
x = 140.79
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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.