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Finding the Fourth Proportional to 279.87, 419.81 and 74.44

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Solution

The fourth proportional to 279.87, 419.81 and 74.44 is: 111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.87 : 419.81 = 74.44 : x
  2. Step 2: Convert to fraction form
    279.87/419.81 = 74.44/x
  3. Step 3: Cross multiply
    279.87x = 419.81 × 74.44
  4. Step 4: Simplify right side
    279.87x = 31,250.66
  5. Step 5: Solve for x
    x = 31,250.66/279.87
  6. Step 6: Final answer
    x = 111.66

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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.