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Finding the Fourth Proportional to 344.31, 473.97 and 261.21

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Solution

The fourth proportional to 344.31, 473.97 and 261.21 is: 359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 473.97 = 261.21 : x
  2. Step 2: Convert to fraction form
    344.31/473.97 = 261.21/x
  3. Step 3: Cross multiply
    344.31x = 473.97 × 261.21
  4. Step 4: Simplify right side
    344.31x = 123,805.70
  5. Step 5: Solve for x
    x = 123,805.70/344.31
  6. Step 6: Final answer
    x = 359.58

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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.