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Finding the Fourth Proportional to 461.87, 692.76 and 184.21

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Solution

The fourth proportional to 461.87, 692.76 and 184.21 is: 276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.87 : 692.76 = 184.21 : x
  2. Step 2: Convert to fraction form
    461.87/692.76 = 184.21/x
  3. Step 3: Cross multiply
    461.87x = 692.76 × 184.21
  4. Step 4: Simplify right side
    461.87x = 127,613.78
  5. Step 5: Solve for x
    x = 127,613.78/461.87
  6. Step 6: Final answer
    x = 276.30

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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.