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Finding the Fourth Proportional to 381.27, 572.31 and 198.75

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Solution

The fourth proportional to 381.27, 572.31 and 198.75 is: 298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.27 : 572.31 = 198.75 : x
  2. Step 2: Convert to fraction form
    381.27/572.31 = 198.75/x
  3. Step 3: Cross multiply
    381.27x = 572.31 × 198.75
  4. Step 4: Simplify right side
    381.27x = 113,746.61
  5. Step 5: Solve for x
    x = 113,746.61/381.27
  6. Step 6: Final answer
    x = 298.34

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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.