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Finding the Fourth Proportional to 257.90, 356.01 and 198.86

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Solution

The fourth proportional to 257.90, 356.01 and 198.86 is: 274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.90 : 356.01 = 198.86 : x
  2. Step 2: Convert to fraction form
    257.90/356.01 = 198.86/x
  3. Step 3: Cross multiply
    257.90x = 356.01 × 198.86
  4. Step 4: Simplify right side
    257.90x = 70,797.04
  5. Step 5: Solve for x
    x = 70,797.04/257.90
  6. Step 6: Final answer
    x = 274.52

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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.