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Finding the Fourth Proportional to 349.78, 481.71 and 342.22

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Solution

The fourth proportional to 349.78, 481.71 and 342.22 is: 471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.78 : 481.71 = 342.22 : x
  2. Step 2: Convert to fraction form
    349.78/481.71 = 342.22/x
  3. Step 3: Cross multiply
    349.78x = 481.71 × 342.22
  4. Step 4: Simplify right side
    349.78x = 164,850.80
  5. Step 5: Solve for x
    x = 164,850.80/349.78
  6. Step 6: Final answer
    x = 471.30

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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.