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Finding the Fourth Proportional to 461.75, 692.64 and 137.12

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Solution

The fourth proportional to 461.75, 692.64 and 137.12 is: 205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 692.64 = 137.12 : x
  2. Step 2: Convert to fraction form
    461.75/692.64 = 137.12/x
  3. Step 3: Cross multiply
    461.75x = 692.64 × 137.12
  4. Step 4: Simplify right side
    461.75x = 94,971.33
  5. Step 5: Solve for x
    x = 94,971.33/461.75
  6. Step 6: Final answer
    x = 205.68

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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.