Finding the Fourth Proportional to 257.70, 385.93 and 149.28
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Solution
The fourth proportional to 257.70, 385.93 and 149.28 is: 223.56
Step by Step Solution
- Step 1: Write the proportion equation
257.70 : 385.93 = 149.28 : x - Step 2: Convert to fraction form
257.70/385.93 = 149.28/x - Step 3: Cross multiply
257.70x = 385.93 × 149.28 - Step 4: Simplify right side
257.70x = 57,611.63 - Step 5: Solve for x
x = 57,611.63/257.70 - Step 6: Final answer
x = 223.56
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.