Finding the Fourth Proportional to 430.29, 645.23 and 198.99
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Solution
The fourth proportional to 430.29, 645.23 and 198.99 is: 298.39
Step by Step Solution
- Step 1: Write the proportion equation
430.29 : 645.23 = 198.99 : x - Step 2: Convert to fraction form
430.29/645.23 = 198.99/x - Step 3: Cross multiply
430.29x = 645.23 × 198.99 - Step 4: Simplify right side
430.29x = 128,393.32 - Step 5: Solve for x
x = 128,393.32/430.29 - Step 6: Final answer
x = 298.39
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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.