Finding the Fourth Proportional to 157.23, 216.86 and 142.83
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Solution
The fourth proportional to 157.23, 216.86 and 142.83 is: 196.99
Step by Step Solution
- Step 1: Write the proportion equation
157.23 : 216.86 = 142.83 : x - Step 2: Convert to fraction form
157.23/216.86 = 142.83/x - Step 3: Cross multiply
157.23x = 216.86 × 142.83 - Step 4: Simplify right side
157.23x = 30,973.40 - Step 5: Solve for x
x = 30,973.40/157.23 - Step 6: Final answer
x = 196.99
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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.