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Finding the Fourth Proportional to 344.31, 475.26 and 234.12

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Solution

The fourth proportional to 344.31, 475.26 and 234.12 is: 323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 475.26 = 234.12 : x
  2. Step 2: Convert to fraction form
    344.31/475.26 = 234.12/x
  3. Step 3: Cross multiply
    344.31x = 475.26 × 234.12
  4. Step 4: Simplify right side
    344.31x = 111,267.87
  5. Step 5: Solve for x
    x = 111,267.87/344.31
  6. Step 6: Final answer
    x = 323.16

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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.