Finding the Fourth Proportional to 75.70, 113.28 and 57.70
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Solution
The fourth proportional to 75.70, 113.28 and 57.70 is: 86.34
Step by Step Solution
- Step 1: Write the proportion equation
75.70 : 113.28 = 57.70 : x - Step 2: Convert to fraction form
75.70/113.28 = 57.70/x - Step 3: Cross multiply
75.70x = 113.28 × 57.70 - Step 4: Simplify right side
75.70x = 6,536.26 - Step 5: Solve for x
x = 6,536.26/75.70 - Step 6: Final answer
x = 86.34
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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.