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Finding the Fourth Proportional to 439.44, 658.20 and 256.26

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Solution

The fourth proportional to 439.44, 658.20 and 256.26 is: 383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.44 : 658.20 = 256.26 : x
  2. Step 2: Convert to fraction form
    439.44/658.20 = 256.26/x
  3. Step 3: Cross multiply
    439.44x = 658.20 × 256.26
  4. Step 4: Simplify right side
    439.44x = 168,670.33
  5. Step 5: Solve for x
    x = 168,670.33/439.44
  6. Step 6: Final answer
    x = 383.83

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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.