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Finding the Fourth Proportional to 428.24, 590.11 and 280.61

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Solution

The fourth proportional to 428.24, 590.11 and 280.61 is: 386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 590.11 = 280.61 : x
  2. Step 2: Convert to fraction form
    428.24/590.11 = 280.61/x
  3. Step 3: Cross multiply
    428.24x = 590.11 × 280.61
  4. Step 4: Simplify right side
    428.24x = 165,591.54
  5. Step 5: Solve for x
    x = 165,591.54/428.24
  6. Step 6: Final answer
    x = 386.68

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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.