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Finding the Fourth Proportional to 255.47, 351.77 and 199.49

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Solution

The fourth proportional to 255.47, 351.77 and 199.49 is: 274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.47 : 351.77 = 199.49 : x
  2. Step 2: Convert to fraction form
    255.47/351.77 = 199.49/x
  3. Step 3: Cross multiply
    255.47x = 351.77 × 199.49
  4. Step 4: Simplify right side
    255.47x = 70,171.84
  5. Step 5: Solve for x
    x = 70,171.84/255.47
  6. Step 6: Final answer
    x = 274.68

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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.