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Finding the Fourth Proportional to 257.68, 355.40 and 199.28

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Solution

The fourth proportional to 257.68, 355.40 and 199.28 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.68 : 355.40 = 199.28 : x
  2. Step 2: Convert to fraction form
    257.68/355.40 = 199.28/x
  3. Step 3: Cross multiply
    257.68x = 355.40 × 199.28
  4. Step 4: Simplify right side
    257.68x = 70,824.11
  5. Step 5: Solve for x
    x = 70,824.11/257.68
  6. Step 6: Final answer
    x = 274.85

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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.