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Finding the Fourth Proportional to 462, 692.94 and 137.34

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Solution

The fourth proportional to 462, 692.94 and 137.34 is: 205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 692.94 = 137.34 : x
  2. Step 2: Convert to fraction form
    462/692.94 = 137.34/x
  3. Step 3: Cross multiply
    462x = 692.94 × 137.34
  4. Step 4: Simplify right side
    462x = 95,168.38
  5. Step 5: Solve for x
    x = 95,168.38/462
  6. Step 6: Final answer
    x = 205.99

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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.