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Finding the Fourth Proportional to 279.75, 419.64 and 108.75

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Solution

The fourth proportional to 279.75, 419.64 and 108.75 is: 163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.75 : 419.64 = 108.75 : x
  2. Step 2: Convert to fraction form
    279.75/419.64 = 108.75/x
  3. Step 3: Cross multiply
    279.75x = 419.64 × 108.75
  4. Step 4: Simplify right side
    279.75x = 45,635.85
  5. Step 5: Solve for x
    x = 45,635.85/279.75
  6. Step 6: Final answer
    x = 163.13

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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.