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Finding the Fourth Proportional to 315.20, 434.44 and 255.97

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Solution

The fourth proportional to 315.20, 434.44 and 255.97 is: 352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 434.44 = 255.97 : x
  2. Step 2: Convert to fraction form
    315.20/434.44 = 255.97/x
  3. Step 3: Cross multiply
    315.20x = 434.44 × 255.97
  4. Step 4: Simplify right side
    315.20x = 111,204.36
  5. Step 5: Solve for x
    x = 111,204.36/315.20
  6. Step 6: Final answer
    x = 352.80

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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.