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Finding the Fourth Proportional to 409, 564.40 and 231.97

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Solution

The fourth proportional to 409, 564.40 and 231.97 is: 320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 564.40 = 231.97 : x
  2. Step 2: Convert to fraction form
    409/564.40 = 231.97/x
  3. Step 3: Cross multiply
    409x = 564.40 × 231.97
  4. Step 4: Simplify right side
    409x = 130,923.87
  5. Step 5: Solve for x
    x = 130,923.87/409
  6. Step 6: Final answer
    x = 320.11

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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.