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Finding the Fourth Proportional to 492.62, 739.01 and 200.26

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Solution

The fourth proportional to 492.62, 739.01 and 200.26 is: 300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.62 : 739.01 = 200.26 : x
  2. Step 2: Convert to fraction form
    492.62/739.01 = 200.26/x
  3. Step 3: Cross multiply
    492.62x = 739.01 × 200.26
  4. Step 4: Simplify right side
    492.62x = 147,994.14
  5. Step 5: Solve for x
    x = 147,994.14/492.62
  6. Step 6: Final answer
    x = 300.42

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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.