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Finding the Fourth Proportional to 290.73, 398.00 and 281.43

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Solution

The fourth proportional to 290.73, 398.00 and 281.43 is: 385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.73 : 398.00 = 281.43 : x
  2. Step 2: Convert to fraction form
    290.73/398.00 = 281.43/x
  3. Step 3: Cross multiply
    290.73x = 398.00 × 281.43
  4. Step 4: Simplify right side
    290.73x = 112,007.73
  5. Step 5: Solve for x
    x = 112,007.73/290.73
  6. Step 6: Final answer
    x = 385.26

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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.