Finding the Fourth Proportional to 340.71, 511.14 and 97.23
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Solution
The fourth proportional to 340.71, 511.14 and 97.23 is: 145.87
Step by Step Solution
- Step 1: Write the proportion equation
340.71 : 511.14 = 97.23 : x - Step 2: Convert to fraction form
340.71/511.14 = 97.23/x - Step 3: Cross multiply
340.71x = 511.14 × 97.23 - Step 4: Simplify right side
340.71x = 49,698.14 - Step 5: Solve for x
x = 49,698.14/340.71 - Step 6: Final answer
x = 145.87
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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.