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Finding the Fourth Proportional to 279.93, 421.83 and 252.54

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Solution

The fourth proportional to 279.93, 421.83 and 252.54 is: 380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.93 : 421.83 = 252.54 : x
  2. Step 2: Convert to fraction form
    279.93/421.83 = 252.54/x
  3. Step 3: Cross multiply
    279.93x = 421.83 × 252.54
  4. Step 4: Simplify right side
    279.93x = 106,530.84
  5. Step 5: Solve for x
    x = 106,530.84/279.93
  6. Step 6: Final answer
    x = 380.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.