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Finding the Fourth Proportional to 347.82, 480.08 and 200.51

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Solution

The fourth proportional to 347.82, 480.08 and 200.51 is: 276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.82 : 480.08 = 200.51 : x
  2. Step 2: Convert to fraction form
    347.82/480.08 = 200.51/x
  3. Step 3: Cross multiply
    347.82x = 480.08 × 200.51
  4. Step 4: Simplify right side
    347.82x = 96,257.44
  5. Step 5: Solve for x
    x = 96,257.44/347.82
  6. Step 6: Final answer
    x = 276.74

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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.