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Finding the Fourth Proportional to 409.37, 564.78 and 232.31

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Solution

The fourth proportional to 409.37, 564.78 and 232.31 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.37 : 564.78 = 232.31 : x
  2. Step 2: Convert to fraction form
    409.37/564.78 = 232.31/x
  3. Step 3: Cross multiply
    409.37x = 564.78 × 232.31
  4. Step 4: Simplify right side
    409.37x = 131,204.04
  5. Step 5: Solve for x
    x = 131,204.04/409.37
  6. Step 6: Final answer
    x = 320.50

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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.