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Finding the Fourth Proportional to 347.43, 479.44 and 200.09

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Solution

The fourth proportional to 347.43, 479.44 and 200.09 is: 276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.43 : 479.44 = 200.09 : x
  2. Step 2: Convert to fraction form
    347.43/479.44 = 200.09/x
  3. Step 3: Cross multiply
    347.43x = 479.44 × 200.09
  4. Step 4: Simplify right side
    347.43x = 95,931.15
  5. Step 5: Solve for x
    x = 95,931.15/347.43
  6. Step 6: Final answer
    x = 276.12

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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.