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Finding the Fourth Proportional to 409.31, 564.81 and 243.48

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Solution

The fourth proportional to 409.31, 564.81 and 243.48 is: 335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.31 : 564.81 = 243.48 : x
  2. Step 2: Convert to fraction form
    409.31/564.81 = 243.48/x
  3. Step 3: Cross multiply
    409.31x = 564.81 × 243.48
  4. Step 4: Simplify right side
    409.31x = 137,519.94
  5. Step 5: Solve for x
    x = 137,519.94/409.31
  6. Step 6: Final answer
    x = 335.98

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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.