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Finding the Fourth Proportional to 428.56, 591.40 and 280.94

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Solution

The fourth proportional to 428.56, 591.40 and 280.94 is: 387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.56 : 591.40 = 280.94 : x
  2. Step 2: Convert to fraction form
    428.56/591.40 = 280.94/x
  3. Step 3: Cross multiply
    428.56x = 591.40 × 280.94
  4. Step 4: Simplify right side
    428.56x = 166,145.31
  5. Step 5: Solve for x
    x = 166,145.31/428.56
  6. Step 6: Final answer
    x = 387.68

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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.