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Finding the Fourth Proportional to 322.72, 484.32 and 245.92

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Solution

The fourth proportional to 322.72, 484.32 and 245.92 is: 369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 484.32 = 245.92 : x
  2. Step 2: Convert to fraction form
    322.72/484.32 = 245.92/x
  3. Step 3: Cross multiply
    322.72x = 484.32 × 245.92
  4. Step 4: Simplify right side
    322.72x = 119,103.97
  5. Step 5: Solve for x
    x = 119,103.97/322.72
  6. Step 6: Final answer
    x = 369.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.