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Finding the Fourth Proportional to 461.50, 692.09 and 172.78

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Solution

The fourth proportional to 461.50, 692.09 and 172.78 is: 259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.50 : 692.09 = 172.78 : x
  2. Step 2: Convert to fraction form
    461.50/692.09 = 172.78/x
  3. Step 3: Cross multiply
    461.50x = 692.09 × 172.78
  4. Step 4: Simplify right side
    461.50x = 119,579.31
  5. Step 5: Solve for x
    x = 119,579.31/461.50
  6. Step 6: Final answer
    x = 259.11

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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.