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Finding the Fourth Proportional to 349.70, 482.64 and 200.37

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Solution

The fourth proportional to 349.70, 482.64 and 200.37 is: 276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.70 : 482.64 = 200.37 : x
  2. Step 2: Convert to fraction form
    349.70/482.64 = 200.37/x
  3. Step 3: Cross multiply
    349.70x = 482.64 × 200.37
  4. Step 4: Simplify right side
    349.70x = 96,705.57
  5. Step 5: Solve for x
    x = 96,705.57/349.70
  6. Step 6: Final answer
    x = 276.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.