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Finding the Fourth Proportional to 257.85, 355.73 and 198.74

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Solution

The fourth proportional to 257.85, 355.73 and 198.74 is: 274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.85 : 355.73 = 198.74 : x
  2. Step 2: Convert to fraction form
    257.85/355.73 = 198.74/x
  3. Step 3: Cross multiply
    257.85x = 355.73 × 198.74
  4. Step 4: Simplify right side
    257.85x = 70,695.01
  5. Step 5: Solve for x
    x = 70,695.01/257.85
  6. Step 6: Final answer
    x = 274.17

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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.