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Finding the Fourth Proportional to 279.44, 419.13 and 96.83

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Solution

The fourth proportional to 279.44, 419.13 and 96.83 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.44 : 419.13 = 96.83 : x
  2. Step 2: Convert to fraction form
    279.44/419.13 = 96.83/x
  3. Step 3: Cross multiply
    279.44x = 419.13 × 96.83
  4. Step 4: Simplify right side
    279.44x = 40,584.36
  5. Step 5: Solve for x
    x = 40,584.36/279.44
  6. Step 6: Final answer
    x = 145.23

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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.