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Finding the Fourth Proportional to 322.74, 443.61 and 285.72

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Solution

The fourth proportional to 322.74, 443.61 and 285.72 is: 392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.74 : 443.61 = 285.72 : x
  2. Step 2: Convert to fraction form
    322.74/443.61 = 285.72/x
  3. Step 3: Cross multiply
    322.74x = 443.61 × 285.72
  4. Step 4: Simplify right side
    322.74x = 126,748.25
  5. Step 5: Solve for x
    x = 126,748.25/322.74
  6. Step 6: Final answer
    x = 392.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.