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Finding the Fourth Proportional to 409.82, 565.69 and 244.09

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Solution

The fourth proportional to 409.82, 565.69 and 244.09 is: 336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 565.69 = 244.09 : x
  2. Step 2: Convert to fraction form
    409.82/565.69 = 244.09/x
  3. Step 3: Cross multiply
    409.82x = 565.69 × 244.09
  4. Step 4: Simplify right side
    409.82x = 138,076.44
  5. Step 5: Solve for x
    x = 138,076.44/409.82
  6. Step 6: Final answer
    x = 336.92

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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.