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Finding the Fourth Proportional to 381.85, 572.13 and 279.18

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Solution

The fourth proportional to 381.85, 572.13 and 279.18 is: 418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.85 : 572.13 = 279.18 : x
  2. Step 2: Convert to fraction form
    381.85/572.13 = 279.18/x
  3. Step 3: Cross multiply
    381.85x = 572.13 × 279.18
  4. Step 4: Simplify right side
    381.85x = 159,727.25
  5. Step 5: Solve for x
    x = 159,727.25/381.85
  6. Step 6: Final answer
    x = 418.30

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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.