Finding the Fourth Proportional to 430.12, 645.36 and 224.84
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Solution
The fourth proportional to 430.12, 645.36 and 224.84 is: 337.35
Step by Step Solution
- Step 1: Write the proportion equation
430.12 : 645.36 = 224.84 : x - Step 2: Convert to fraction form
430.12/645.36 = 224.84/x - Step 3: Cross multiply
430.12x = 645.36 × 224.84 - Step 4: Simplify right side
430.12x = 145,102.74 - Step 5: Solve for x
x = 145,102.74/430.12 - Step 6: Final answer
x = 337.35
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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.