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Finding the Fourth Proportional to 290.50, 401.09 and 203.29

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Solution

The fourth proportional to 290.50, 401.09 and 203.29 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.50 : 401.09 = 203.29 : x
  2. Step 2: Convert to fraction form
    290.50/401.09 = 203.29/x
  3. Step 3: Cross multiply
    290.50x = 401.09 × 203.29
  4. Step 4: Simplify right side
    290.50x = 81,538.09
  5. Step 5: Solve for x
    x = 81,538.09/290.50
  6. Step 6: Final answer
    x = 280.68

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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.