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Finding the Fourth Proportional to 250, 344.82 and 206.20

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Solution

The fourth proportional to 250, 344.82 and 206.20 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250 : 344.82 = 206.20 : x
  2. Step 2: Convert to fraction form
    250/344.82 = 206.20/x
  3. Step 3: Cross multiply
    250x = 344.82 × 206.20
  4. Step 4: Simplify right side
    250x = 71,101.88
  5. Step 5: Solve for x
    x = 71,101.88/250
  6. Step 6: Final answer
    x = 284.41

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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.