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Finding the Fourth Proportional to 322.90, 445.64 and 198.58

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Solution

The fourth proportional to 322.90, 445.64 and 198.58 is: 274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.90 : 445.64 = 198.58 : x
  2. Step 2: Convert to fraction form
    322.90/445.64 = 198.58/x
  3. Step 3: Cross multiply
    322.90x = 445.64 × 198.58
  4. Step 4: Simplify right side
    322.90x = 88,494.57
  5. Step 5: Solve for x
    x = 88,494.57/322.90
  6. Step 6: Final answer
    x = 274.06

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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.