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Finding the Fourth Proportional to 290.92, 401.28 and 203.68

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Solution

The fourth proportional to 290.92, 401.28 and 203.68 is: 280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.92 : 401.28 = 203.68 : x
  2. Step 2: Convert to fraction form
    290.92/401.28 = 203.68/x
  3. Step 3: Cross multiply
    290.92x = 401.28 × 203.68
  4. Step 4: Simplify right side
    290.92x = 81,732.71
  5. Step 5: Solve for x
    x = 81,732.71/290.92
  6. Step 6: Final answer
    x = 280.95

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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.