Finding the Fourth Proportional to 307.65, 460.44 and 209.75
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Solution
The fourth proportional to 307.65, 460.44 and 209.75 is: 313.91
Step by Step Solution
- Step 1: Write the proportion equation
307.65 : 460.44 = 209.75 : x - Step 2: Convert to fraction form
307.65/460.44 = 209.75/x - Step 3: Cross multiply
307.65x = 460.44 × 209.75 - Step 4: Simplify right side
307.65x = 96,574.99 - Step 5: Solve for x
x = 96,574.99/307.65 - Step 6: Final answer
x = 313.91
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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.