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Finding the Fourth Proportional to 322.56, 482.40 and 213.12

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Solution

The fourth proportional to 322.56, 482.40 and 213.12 is: 318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.56 : 482.40 = 213.12 : x
  2. Step 2: Convert to fraction form
    322.56/482.40 = 213.12/x
  3. Step 3: Cross multiply
    322.56x = 482.40 × 213.12
  4. Step 4: Simplify right side
    322.56x = 102,809.09
  5. Step 5: Solve for x
    x = 102,809.09/322.56
  6. Step 6: Final answer
    x = 318.73

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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.