Finding the Fourth Proportional to 157.14, 216.87 and 98.19
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Solution
The fourth proportional to 157.14, 216.87 and 98.19 is: 135.51
Step by Step Solution
- Step 1: Write the proportion equation
157.14 : 216.87 = 98.19 : x - Step 2: Convert to fraction form
157.14/216.87 = 98.19/x - Step 3: Cross multiply
157.14x = 216.87 × 98.19 - Step 4: Simplify right side
157.14x = 21,294.18 - Step 5: Solve for x
x = 21,294.18/157.14 - Step 6: Final answer
x = 135.51
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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.