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Finding the Fourth Proportional to 428.23, 590.92 and 280.61

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Solution

The fourth proportional to 428.23, 590.92 and 280.61 is: 387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.23 : 590.92 = 280.61 : x
  2. Step 2: Convert to fraction form
    428.23/590.92 = 280.61/x
  3. Step 3: Cross multiply
    428.23x = 590.92 × 280.61
  4. Step 4: Simplify right side
    428.23x = 165,818.06
  5. Step 5: Solve for x
    x = 165,818.06/428.23
  6. Step 6: Final answer
    x = 387.22

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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.