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Finding the Fourth Proportional to 461.87, 692.78 and 187.95

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Solution

The fourth proportional to 461.87, 692.78 and 187.95 is: 281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.87 : 692.78 = 187.95 : x
  2. Step 2: Convert to fraction form
    461.87/692.78 = 187.95/x
  3. Step 3: Cross multiply
    461.87x = 692.78 × 187.95
  4. Step 4: Simplify right side
    461.87x = 130,208.00
  5. Step 5: Solve for x
    x = 130,208.00/461.87
  6. Step 6: Final answer
    x = 281.91

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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.