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Finding the Fourth Proportional to 279.96, 385.92 and 227.76

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Solution

The fourth proportional to 279.96, 385.92 and 227.76 is: 313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.96 : 385.92 = 227.76 : x
  2. Step 2: Convert to fraction form
    279.96/385.92 = 227.76/x
  3. Step 3: Cross multiply
    279.96x = 385.92 × 227.76
  4. Step 4: Simplify right side
    279.96x = 87,897.14
  5. Step 5: Solve for x
    x = 87,897.14/279.96
  6. Step 6: Final answer
    x = 313.96

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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.