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Finding the Fourth Proportional to 461.83, 692.31 and 169.26

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Solution

The fourth proportional to 461.83, 692.31 and 169.26 is: 253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.83 : 692.31 = 169.26 : x
  2. Step 2: Convert to fraction form
    461.83/692.31 = 169.26/x
  3. Step 3: Cross multiply
    461.83x = 692.31 × 169.26
  4. Step 4: Simplify right side
    461.83x = 117,179.76
  5. Step 5: Solve for x
    x = 117,179.76/461.83
  6. Step 6: Final answer
    x = 253.73

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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.