Finding the Fourth Proportional to 257.70, 386.55 and 113.70
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Solution
The fourth proportional to 257.70, 386.55 and 113.70 is: 170.55
Step by Step Solution
- Step 1: Write the proportion equation
257.70 : 386.55 = 113.70 : x - Step 2: Convert to fraction form
257.70/386.55 = 113.70/x - Step 3: Cross multiply
257.70x = 386.55 × 113.70 - Step 4: Simplify right side
257.70x = 43,950.74 - Step 5: Solve for x
x = 43,950.74/257.70 - Step 6: Final answer
x = 170.55
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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.