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Finding the Fourth Proportional to 344.80, 475.23 and 234.22

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Solution

The fourth proportional to 344.80, 475.23 and 234.22 is: 322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.80 : 475.23 = 234.22 : x
  2. Step 2: Convert to fraction form
    344.80/475.23 = 234.22/x
  3. Step 3: Cross multiply
    344.80x = 475.23 × 234.22
  4. Step 4: Simplify right side
    344.80x = 111,308.37
  5. Step 5: Solve for x
    x = 111,308.37/344.80
  6. Step 6: Final answer
    x = 322.82

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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.