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Finding the Fourth Proportional to 318.31, 439.05 and 200.17

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Solution

The fourth proportional to 318.31, 439.05 and 200.17 is: 276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.31 : 439.05 = 200.17 : x
  2. Step 2: Convert to fraction form
    318.31/439.05 = 200.17/x
  3. Step 3: Cross multiply
    318.31x = 439.05 × 200.17
  4. Step 4: Simplify right side
    318.31x = 87,884.64
  5. Step 5: Solve for x
    x = 87,884.64/318.31
  6. Step 6: Final answer
    x = 276.10

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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.