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Finding the Fourth Proportional to 428.28, 590.92 and 281.12

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Solution

The fourth proportional to 428.28, 590.92 and 281.12 is: 387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.28 : 590.92 = 281.12 : x
  2. Step 2: Convert to fraction form
    428.28/590.92 = 281.12/x
  3. Step 3: Cross multiply
    428.28x = 590.92 × 281.12
  4. Step 4: Simplify right side
    428.28x = 166,119.43
  5. Step 5: Solve for x
    x = 166,119.43/428.28
  6. Step 6: Final answer
    x = 387.88

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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.