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Finding the Fourth Proportional to 379.21, 568.57 and 249.06

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Solution

The fourth proportional to 379.21, 568.57 and 249.06 is: 373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.21 : 568.57 = 249.06 : x
  2. Step 2: Convert to fraction form
    379.21/568.57 = 249.06/x
  3. Step 3: Cross multiply
    379.21x = 568.57 × 249.06
  4. Step 4: Simplify right side
    379.21x = 141,608.04
  5. Step 5: Solve for x
    x = 141,608.04/379.21
  6. Step 6: Final answer
    x = 373.43

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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.