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Finding the Fourth Proportional to 322.26, 445.18 and 282.84

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Solution

The fourth proportional to 322.26, 445.18 and 282.84 is: 390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.26 : 445.18 = 282.84 : x
  2. Step 2: Convert to fraction form
    322.26/445.18 = 282.84/x
  3. Step 3: Cross multiply
    322.26x = 445.18 × 282.84
  4. Step 4: Simplify right side
    322.26x = 125,914.71
  5. Step 5: Solve for x
    x = 125,914.71/322.26
  6. Step 6: Final answer
    x = 390.72

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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.