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Finding the Fourth Proportional to 257.34, 355 and 198.22

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Solution

The fourth proportional to 257.34, 355 and 198.22 is: 273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.34 : 355 = 198.22 : x
  2. Step 2: Convert to fraction form
    257.34/355 = 198.22/x
  3. Step 3: Cross multiply
    257.34x = 355 × 198.22
  4. Step 4: Simplify right side
    257.34x = 70,368.10
  5. Step 5: Solve for x
    x = 70,368.10/257.34
  6. Step 6: Final answer
    x = 273.44

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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.