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Finding the Fourth Proportional to 322.91, 445.58 and 198.57

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Solution

The fourth proportional to 322.91, 445.58 and 198.57 is: 274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.91 : 445.58 = 198.57 : x
  2. Step 2: Convert to fraction form
    322.91/445.58 = 198.57/x
  3. Step 3: Cross multiply
    322.91x = 445.58 × 198.57
  4. Step 4: Simplify right side
    322.91x = 88,478.82
  5. Step 5: Solve for x
    x = 88,478.82/322.91
  6. Step 6: Final answer
    x = 274.01

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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.