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Finding the Fourth Proportional to 379.43, 568.70 and 255.77

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Solution

The fourth proportional to 379.43, 568.70 and 255.77 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.43 : 568.70 = 255.77 : x
  2. Step 2: Convert to fraction form
    379.43/568.70 = 255.77/x
  3. Step 3: Cross multiply
    379.43x = 568.70 × 255.77
  4. Step 4: Simplify right side
    379.43x = 145,452.28
  5. Step 5: Solve for x
    x = 145,452.28/379.43
  6. Step 6: Final answer
    x = 383.35

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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.