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Finding the Fourth Proportional to 281.64, 419.51 and 271.60

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Solution

The fourth proportional to 281.64, 419.51 and 271.60 is: 404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.64 : 419.51 = 271.60 : x
  2. Step 2: Convert to fraction form
    281.64/419.51 = 271.60/x
  3. Step 3: Cross multiply
    281.64x = 419.51 × 271.60
  4. Step 4: Simplify right side
    281.64x = 113,938.92
  5. Step 5: Solve for x
    x = 113,938.92/281.64
  6. Step 6: Final answer
    x = 404.56

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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.