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Finding the Fourth Proportional to 255.27, 352.47 and 199.91

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Solution

The fourth proportional to 255.27, 352.47 and 199.91 is: 276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.27 : 352.47 = 199.91 : x
  2. Step 2: Convert to fraction form
    255.27/352.47 = 199.91/x
  3. Step 3: Cross multiply
    255.27x = 352.47 × 199.91
  4. Step 4: Simplify right side
    255.27x = 70,462.28
  5. Step 5: Solve for x
    x = 70,462.28/255.27
  6. Step 6: Final answer
    x = 276.03

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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.