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Finding the Fourth Proportional to 409.31, 564.94 and 327.07

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Solution

The fourth proportional to 409.31, 564.94 and 327.07 is: 451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.31 : 564.94 = 327.07 : x
  2. Step 2: Convert to fraction form
    409.31/564.94 = 327.07/x
  3. Step 3: Cross multiply
    409.31x = 564.94 × 327.07
  4. Step 4: Simplify right side
    409.31x = 184,774.93
  5. Step 5: Solve for x
    x = 184,774.93/409.31
  6. Step 6: Final answer
    x = 451.43

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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.