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Finding the Fourth Proportional to 279.15, 418.71 and 96.56

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Solution

The fourth proportional to 279.15, 418.71 and 96.56 is: 144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.15 : 418.71 = 96.56 : x
  2. Step 2: Convert to fraction form
    279.15/418.71 = 96.56/x
  3. Step 3: Cross multiply
    279.15x = 418.71 × 96.56
  4. Step 4: Simplify right side
    279.15x = 40,428.54
  5. Step 5: Solve for x
    x = 40,428.54/279.15
  6. Step 6: Final answer
    x = 144.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.