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Finding the Fourth Proportional to 257.16, 354.34 and 198.76

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Solution

The fourth proportional to 257.16, 354.34 and 198.76 is: 273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.16 : 354.34 = 198.76 : x
  2. Step 2: Convert to fraction form
    257.16/354.34 = 198.76/x
  3. Step 3: Cross multiply
    257.16x = 354.34 × 198.76
  4. Step 4: Simplify right side
    257.16x = 70,428.62
  5. Step 5: Solve for x
    x = 70,428.62/257.16
  6. Step 6: Final answer
    x = 273.87

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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.