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Finding the Fourth Proportional to 318.91, 439.44 and 256.49

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Solution

The fourth proportional to 318.91, 439.44 and 256.49 is: 353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.91 : 439.44 = 256.49 : x
  2. Step 2: Convert to fraction form
    318.91/439.44 = 256.49/x
  3. Step 3: Cross multiply
    318.91x = 439.44 × 256.49
  4. Step 4: Simplify right side
    318.91x = 112,710.68
  5. Step 5: Solve for x
    x = 112,710.68/318.91
  6. Step 6: Final answer
    x = 353.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.