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Finding the Fourth Proportional to 301.92, 416.28 and 203.76

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Solution

The fourth proportional to 301.92, 416.28 and 203.76 is: 280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 416.28 = 203.76 : x
  2. Step 2: Convert to fraction form
    301.92/416.28 = 203.76/x
  3. Step 3: Cross multiply
    301.92x = 416.28 × 203.76
  4. Step 4: Simplify right side
    301.92x = 84,821.21
  5. Step 5: Solve for x
    x = 84,821.21/301.92
  6. Step 6: Final answer
    x = 280.94

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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.