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Finding the Fourth Proportional to 461.78, 692.67 and 187.87

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Solution

The fourth proportional to 461.78, 692.67 and 187.87 is: 281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.78 : 692.67 = 187.87 : x
  2. Step 2: Convert to fraction form
    461.78/692.67 = 187.87/x
  3. Step 3: Cross multiply
    461.78x = 692.67 × 187.87
  4. Step 4: Simplify right side
    461.78x = 130,130.97
  5. Step 5: Solve for x
    x = 130,130.97/461.78
  6. Step 6: Final answer
    x = 281.80

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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.