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Finding the Fourth Proportional to 409.31, 564.80 and 232.25

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Solution

The fourth proportional to 409.31, 564.80 and 232.25 is: 320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.31 : 564.80 = 232.25 : x
  2. Step 2: Convert to fraction form
    409.31/564.80 = 232.25/x
  3. Step 3: Cross multiply
    409.31x = 564.80 × 232.25
  4. Step 4: Simplify right side
    409.31x = 131,175.05
  5. Step 5: Solve for x
    x = 131,175.05/409.31
  6. Step 6: Final answer
    x = 320.48

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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.