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Finding the Fourth Proportional to 288.75, 398.39 and 200.12

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Solution

The fourth proportional to 288.75, 398.39 and 200.12 is: 276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.75 : 398.39 = 200.12 : x
  2. Step 2: Convert to fraction form
    288.75/398.39 = 200.12/x
  3. Step 3: Cross multiply
    288.75x = 398.39 × 200.12
  4. Step 4: Simplify right side
    288.75x = 79,725.06
  5. Step 5: Solve for x
    x = 79,725.06/288.75
  6. Step 6: Final answer
    x = 276.11

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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.