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Finding the Fourth Proportional to 453.44, 679.20 and 290.96

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Solution

The fourth proportional to 453.44, 679.20 and 290.96 is: 435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.44 : 679.20 = 290.96 : x
  2. Step 2: Convert to fraction form
    453.44/679.20 = 290.96/x
  3. Step 3: Cross multiply
    453.44x = 679.20 × 290.96
  4. Step 4: Simplify right side
    453.44x = 197,620.03
  5. Step 5: Solve for x
    x = 197,620.03/453.44
  6. Step 6: Final answer
    x = 435.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.