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Finding the Fourth Proportional to 322.91, 445.18 and 252.69

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Solution

The fourth proportional to 322.91, 445.18 and 252.69 is: 348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.91 : 445.18 = 252.69 : x
  2. Step 2: Convert to fraction form
    322.91/445.18 = 252.69/x
  3. Step 3: Cross multiply
    322.91x = 445.18 × 252.69
  4. Step 4: Simplify right side
    322.91x = 112,492.53
  5. Step 5: Solve for x
    x = 112,492.53/322.91
  6. Step 6: Final answer
    x = 348.37

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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.