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Finding the Fourth Proportional to 344.00, 475.33 and 255.83

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Solution

The fourth proportional to 344.00, 475.33 and 255.83 is: 353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.00 : 475.33 = 255.83 : x
  2. Step 2: Convert to fraction form
    344.00/475.33 = 255.83/x
  3. Step 3: Cross multiply
    344.00x = 475.33 × 255.83
  4. Step 4: Simplify right side
    344.00x = 121,605.51
  5. Step 5: Solve for x
    x = 121,605.51/344.00
  6. Step 6: Final answer
    x = 353.51

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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.