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Finding the Fourth Proportional to 318.51, 439.40 and 200.43

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Solution

The fourth proportional to 318.51, 439.40 and 200.43 is: 276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.51 : 439.40 = 200.43 : x
  2. Step 2: Convert to fraction form
    318.51/439.40 = 200.43/x
  3. Step 3: Cross multiply
    318.51x = 439.40 × 200.43
  4. Step 4: Simplify right side
    318.51x = 88,067.94
  5. Step 5: Solve for x
    x = 88,067.94/318.51
  6. Step 6: Final answer
    x = 276.50

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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.