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Finding the Fourth Proportional to 281.26, 419.50 and 265.42

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Solution

The fourth proportional to 281.26, 419.50 and 265.42 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.26 : 419.50 = 265.42 : x
  2. Step 2: Convert to fraction form
    281.26/419.50 = 265.42/x
  3. Step 3: Cross multiply
    281.26x = 419.50 × 265.42
  4. Step 4: Simplify right side
    281.26x = 111,342.36
  5. Step 5: Solve for x
    x = 111,342.36/281.26
  6. Step 6: Final answer
    x = 395.87

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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.