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Finding the Fourth Proportional to 318.54, 439.36 and 208.05

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Solution

The fourth proportional to 318.54, 439.36 and 208.05 is: 286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.54 : 439.36 = 208.05 : x
  2. Step 2: Convert to fraction form
    318.54/439.36 = 208.05/x
  3. Step 3: Cross multiply
    318.54x = 439.36 × 208.05
  4. Step 4: Simplify right side
    318.54x = 91,408.85
  5. Step 5: Solve for x
    x = 91,408.85/318.54
  6. Step 6: Final answer
    x = 286.96

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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.