Finding the Fourth Proportional to 260.36, 390.44 and 77.70
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Solution
The fourth proportional to 260.36, 390.44 and 77.70 is: 116.52
Step by Step Solution
- Step 1: Write the proportion equation
260.36 : 390.44 = 77.70 : x - Step 2: Convert to fraction form
260.36/390.44 = 77.70/x - Step 3: Cross multiply
260.36x = 390.44 × 77.70 - Step 4: Simplify right side
260.36x = 30,337.19 - Step 5: Solve for x
x = 30,337.19/260.36 - Step 6: Final answer
x = 116.52
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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.