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Finding the Fourth Proportional to 349.78, 482.70 and 192.43

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Solution

The fourth proportional to 349.78, 482.70 and 192.43 is: 265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.78 : 482.70 = 192.43 : x
  2. Step 2: Convert to fraction form
    349.78/482.70 = 192.43/x
  3. Step 3: Cross multiply
    349.78x = 482.70 × 192.43
  4. Step 4: Simplify right side
    349.78x = 92,884.30
  5. Step 5: Solve for x
    x = 92,884.30/349.78
  6. Step 6: Final answer
    x = 265.55

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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.