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Finding the Fourth Proportional to 349.78, 481.61 and 297.22

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Solution

The fourth proportional to 349.78, 481.61 and 297.22 is: 409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.78 : 481.61 = 297.22 : x
  2. Step 2: Convert to fraction form
    349.78/481.61 = 297.22/x
  3. Step 3: Cross multiply
    349.78x = 481.61 × 297.22
  4. Step 4: Simplify right side
    349.78x = 143,144.12
  5. Step 5: Solve for x
    x = 143,144.12/349.78
  6. Step 6: Final answer
    x = 409.24

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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.