Finding the Fourth Proportional to 340.74, 470.07 and 209.79
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Solution
The fourth proportional to 340.74, 470.07 and 209.79 is: 289.42
Step by Step Solution
- Step 1: Write the proportion equation
340.74 : 470.07 = 209.79 : x - Step 2: Convert to fraction form
340.74/470.07 = 209.79/x - Step 3: Cross multiply
340.74x = 470.07 × 209.79 - Step 4: Simplify right side
340.74x = 98,615.99 - Step 5: Solve for x
x = 98,615.99/340.74 - Step 6: Final answer
x = 289.42
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.