Finding the Fourth Proportional to 430.06, 645.14 and 198.96
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Solution
The fourth proportional to 430.06, 645.14 and 198.96 is: 298.46
Step by Step Solution
- Step 1: Write the proportion equation
430.06 : 645.14 = 198.96 : x - Step 2: Convert to fraction form
430.06/645.14 = 198.96/x - Step 3: Cross multiply
430.06x = 645.14 × 198.96 - Step 4: Simplify right side
430.06x = 128,357.05 - Step 5: Solve for x
x = 128,357.05/430.06 - Step 6: Final answer
x = 298.46
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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.