Finding the Fourth Proportional to 260.13, 389.96 and 97.70
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Solution
The fourth proportional to 260.13, 389.96 and 97.70 is: 146.45
Step by Step Solution
- Step 1: Write the proportion equation
260.13 : 389.96 = 97.70 : x - Step 2: Convert to fraction form
260.13/389.96 = 97.70/x - Step 3: Cross multiply
260.13x = 389.96 × 97.70 - Step 4: Simplify right side
260.13x = 38,097.14 - Step 5: Solve for x
x = 38,097.14/260.13 - Step 6: Final answer
x = 146.45
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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.