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Finding the Fourth Proportional to 290.73, 398.34 and 286.68

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Solution

The fourth proportional to 290.73, 398.34 and 286.68 is: 392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.73 : 398.34 = 286.68 : x
  2. Step 2: Convert to fraction form
    290.73/398.34 = 286.68/x
  3. Step 3: Cross multiply
    290.73x = 398.34 × 286.68
  4. Step 4: Simplify right side
    290.73x = 114,196.11
  5. Step 5: Solve for x
    x = 114,196.11/290.73
  6. Step 6: Final answer
    x = 392.79

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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.