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Finding the Fourth Proportional to 322.38, 445.32 and 309.06

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Solution

The fourth proportional to 322.38, 445.32 and 309.06 is: 426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 445.32 = 309.06 : x
  2. Step 2: Convert to fraction form
    322.38/445.32 = 309.06/x
  3. Step 3: Cross multiply
    322.38x = 445.32 × 309.06
  4. Step 4: Simplify right side
    322.38x = 137,630.60
  5. Step 5: Solve for x
    x = 137,630.60/322.38
  6. Step 6: Final answer
    x = 426.92

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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.