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Finding the Fourth Proportional to 461.50, 692.25 and 119.50

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Solution

The fourth proportional to 461.50, 692.25 and 119.50 is: 179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.50 : 692.25 = 119.50 : x
  2. Step 2: Convert to fraction form
    461.50/692.25 = 119.50/x
  3. Step 3: Cross multiply
    461.50x = 692.25 × 119.50
  4. Step 4: Simplify right side
    461.50x = 82,723.88
  5. Step 5: Solve for x
    x = 82,723.88/461.50
  6. Step 6: Final answer
    x = 179.25

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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.