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Finding the Fourth Proportional to 461.47, 692.17 and 136.84

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Solution

The fourth proportional to 461.47, 692.17 and 136.84 is: 205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.47 : 692.17 = 136.84 : x
  2. Step 2: Convert to fraction form
    461.47/692.17 = 136.84/x
  3. Step 3: Cross multiply
    461.47x = 692.17 × 136.84
  4. Step 4: Simplify right side
    461.47x = 94,714.98
  5. Step 5: Solve for x
    x = 94,714.98/461.47
  6. Step 6: Final answer
    x = 205.25

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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.