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Finding the Fourth Proportional to 290.43, 435.03 and 213.54

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Solution

The fourth proportional to 290.43, 435.03 and 213.54 is: 319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.43 : 435.03 = 213.54 : x
  2. Step 2: Convert to fraction form
    290.43/435.03 = 213.54/x
  3. Step 3: Cross multiply
    290.43x = 435.03 × 213.54
  4. Step 4: Simplify right side
    290.43x = 92,896.31
  5. Step 5: Solve for x
    x = 92,896.31/290.43
  6. Step 6: Final answer
    x = 319.86

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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.