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Finding the Fourth Proportional to 382.88, 574.56 and 212

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Solution

The fourth proportional to 382.88, 574.56 and 212 is: 318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.88 : 574.56 = 212 : x
  2. Step 2: Convert to fraction form
    382.88/574.56 = 212/x
  3. Step 3: Cross multiply
    382.88x = 574.56 × 212
  4. Step 4: Simplify right side
    382.88x = 121,806.72
  5. Step 5: Solve for x
    x = 121,806.72/382.88
  6. Step 6: Final answer
    x = 318.13

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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.