Finding the Fourth Proportional to 380.42, 570.56 and 106.48
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Solution
The fourth proportional to 380.42, 570.56 and 106.48 is: 159.70
Step by Step Solution
- Step 1: Write the proportion equation
380.42 : 570.56 = 106.48 : x - Step 2: Convert to fraction form
380.42/570.56 = 106.48/x - Step 3: Cross multiply
380.42x = 570.56 × 106.48 - Step 4: Simplify right side
380.42x = 60,753.23 - Step 5: Solve for x
x = 60,753.23/380.42 - Step 6: Final answer
x = 159.70
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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.