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Finding the Fourth Proportional to 279.20, 417.83 and 192.12

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Solution

The fourth proportional to 279.20, 417.83 and 192.12 is: 287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.20 : 417.83 = 192.12 : x
  2. Step 2: Convert to fraction form
    279.20/417.83 = 192.12/x
  3. Step 3: Cross multiply
    279.20x = 417.83 × 192.12
  4. Step 4: Simplify right side
    279.20x = 80,272.54
  5. Step 5: Solve for x
    x = 80,272.54/279.20
  6. Step 6: Final answer
    x = 287.51

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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.