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Finding the Fourth Proportional to 203.28, 279.78 and 178.68

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Solution

The fourth proportional to 203.28, 279.78 and 178.68 is: 245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.28 : 279.78 = 178.68 : x
  2. Step 2: Convert to fraction form
    203.28/279.78 = 178.68/x
  3. Step 3: Cross multiply
    203.28x = 279.78 × 178.68
  4. Step 4: Simplify right side
    203.28x = 49,991.09
  5. Step 5: Solve for x
    x = 49,991.09/203.28
  6. Step 6: Final answer
    x = 245.92

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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.