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Finding the Fourth Proportional to 428.09, 590.82 and 323.29

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Solution

The fourth proportional to 428.09, 590.82 and 323.29 is: 446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.09 : 590.82 = 323.29 : x
  2. Step 2: Convert to fraction form
    428.09/590.82 = 323.29/x
  3. Step 3: Cross multiply
    428.09x = 590.82 × 323.29
  4. Step 4: Simplify right side
    428.09x = 191,004.72
  5. Step 5: Solve for x
    x = 191,004.72/428.09
  6. Step 6: Final answer
    x = 446.18

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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.