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Finding the Fourth Proportional to 461.56, 692.43 and 217.95

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Solution

The fourth proportional to 461.56, 692.43 and 217.95 is: 326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.56 : 692.43 = 217.95 : x
  2. Step 2: Convert to fraction form
    461.56/692.43 = 217.95/x
  3. Step 3: Cross multiply
    461.56x = 692.43 × 217.95
  4. Step 4: Simplify right side
    461.56x = 150,915.12
  5. Step 5: Solve for x
    x = 150,915.12/461.56
  6. Step 6: Final answer
    x = 326.97

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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.