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Finding the Fourth Proportional to 290.96, 399.33 and 269.04

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Solution

The fourth proportional to 290.96, 399.33 and 269.04 is: 369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.96 : 399.33 = 269.04 : x
  2. Step 2: Convert to fraction form
    290.96/399.33 = 269.04/x
  3. Step 3: Cross multiply
    290.96x = 399.33 × 269.04
  4. Step 4: Simplify right side
    290.96x = 107,435.74
  5. Step 5: Solve for x
    x = 107,435.74/290.96
  6. Step 6: Final answer
    x = 369.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.