Finding the Fourth Proportional to 157.64, 217.68 and 135.76
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Solution
The fourth proportional to 157.64, 217.68 and 135.76 is: 187.47
Step by Step Solution
- Step 1: Write the proportion equation
157.64 : 217.68 = 135.76 : x - Step 2: Convert to fraction form
157.64/217.68 = 135.76/x - Step 3: Cross multiply
157.64x = 217.68 × 135.76 - Step 4: Simplify right side
157.64x = 29,552.24 - Step 5: Solve for x
x = 29,552.24/157.64 - Step 6: Final answer
x = 187.47
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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.