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Finding the Fourth Proportional to 281.79, 419.90 and 269.37

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Solution

The fourth proportional to 281.79, 419.90 and 269.37 is: 401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.79 : 419.90 = 269.37 : x
  2. Step 2: Convert to fraction form
    281.79/419.90 = 269.37/x
  3. Step 3: Cross multiply
    281.79x = 419.90 × 269.37
  4. Step 4: Simplify right side
    281.79x = 113,107.12
  5. Step 5: Solve for x
    x = 113,107.12/281.79
  6. Step 6: Final answer
    x = 401.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.