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Finding the Fourth Proportional to 428.54, 590.84 and 280.92

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Solution

The fourth proportional to 428.54, 590.84 and 280.92 is: 387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.54 : 590.84 = 280.92 : x
  2. Step 2: Convert to fraction form
    428.54/590.84 = 280.92/x
  3. Step 3: Cross multiply
    428.54x = 590.84 × 280.92
  4. Step 4: Simplify right side
    428.54x = 165,974.41
  5. Step 5: Solve for x
    x = 165,974.41/428.54
  6. Step 6: Final answer
    x = 387.30

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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.