Finding the Fourth Proportional to 260.14, 390.26 and 97.82
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Solution
The fourth proportional to 260.14, 390.26 and 97.82 is: 146.75
Step by Step Solution
- Step 1: Write the proportion equation
260.14 : 390.26 = 97.82 : x - Step 2: Convert to fraction form
260.14/390.26 = 97.82/x - Step 3: Cross multiply
260.14x = 390.26 × 97.82 - Step 4: Simplify right side
260.14x = 38,175.23 - Step 5: Solve for x
x = 38,175.23/260.14 - Step 6: Final answer
x = 146.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.