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Finding the Fourth Proportional to 349.82, 482.64 and 200.44

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Solution

The fourth proportional to 349.82, 482.64 and 200.44 is: 276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.82 : 482.64 = 200.44 : x
  2. Step 2: Convert to fraction form
    349.82/482.64 = 200.44/x
  3. Step 3: Cross multiply
    349.82x = 482.64 × 200.44
  4. Step 4: Simplify right side
    349.82x = 96,740.36
  5. Step 5: Solve for x
    x = 96,740.36/349.82
  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.