Finding the Fourth Proportional to 430.18, 645.21 and 137.70
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Solution
The fourth proportional to 430.18, 645.21 and 137.70 is: 206.53
Step by Step Solution
- Step 1: Write the proportion equation
430.18 : 645.21 = 137.70 : x - Step 2: Convert to fraction form
430.18/645.21 = 137.70/x - Step 3: Cross multiply
430.18x = 645.21 × 137.70 - Step 4: Simplify right side
430.18x = 88,845.42 - Step 5: Solve for x
x = 88,845.42/430.18 - Step 6: Final answer
x = 206.53
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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.