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Finding the Fourth Proportional to 462, 692.87 and 137.29

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Solution

The fourth proportional to 462, 692.87 and 137.29 is: 205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 692.87 = 137.29 : x
  2. Step 2: Convert to fraction form
    462/692.87 = 137.29/x
  3. Step 3: Cross multiply
    462x = 692.87 × 137.29
  4. Step 4: Simplify right side
    462x = 95,123.44
  5. Step 5: Solve for x
    x = 95,123.44/462
  6. Step 6: Final answer
    x = 205.89

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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.