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Finding the Fourth Proportional to 288.56, 398.28 and 206.12

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Solution

The fourth proportional to 288.56, 398.28 and 206.12 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 398.28 = 206.12 : x
  2. Step 2: Convert to fraction form
    288.56/398.28 = 206.12/x
  3. Step 3: Cross multiply
    288.56x = 398.28 × 206.12
  4. Step 4: Simplify right side
    288.56x = 82,093.47
  5. Step 5: Solve for x
    x = 82,093.47/288.56
  6. Step 6: Final answer
    x = 284.49

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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.