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Finding the Fourth Proportional to 461.38, 692.15 and 136.78

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Solution

The fourth proportional to 461.38, 692.15 and 136.78 is: 205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.38 : 692.15 = 136.78 : x
  2. Step 2: Convert to fraction form
    461.38/692.15 = 136.78/x
  3. Step 3: Cross multiply
    461.38x = 692.15 × 136.78
  4. Step 4: Simplify right side
    461.38x = 94,672.28
  5. Step 5: Solve for x
    x = 94,672.28/461.38
  6. Step 6: Final answer
    x = 205.19

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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.