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Finding the Fourth Proportional to 288.89, 398.34 and 200.39

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Solution

The fourth proportional to 288.89, 398.34 and 200.39 is: 276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.89 : 398.34 = 200.39 : x
  2. Step 2: Convert to fraction form
    288.89/398.34 = 200.39/x
  3. Step 3: Cross multiply
    288.89x = 398.34 × 200.39
  4. Step 4: Simplify right side
    288.89x = 79,824.35
  5. Step 5: Solve for x
    x = 79,824.35/288.89
  6. Step 6: Final answer
    x = 276.32

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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.