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Finding the Fourth Proportional to 281.42, 419.82 and 261.78

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Solution

The fourth proportional to 281.42, 419.82 and 261.78 is: 390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.42 : 419.82 = 261.78 : x
  2. Step 2: Convert to fraction form
    281.42/419.82 = 261.78/x
  3. Step 3: Cross multiply
    281.42x = 419.82 × 261.78
  4. Step 4: Simplify right side
    281.42x = 109,900.48
  5. Step 5: Solve for x
    x = 109,900.48/281.42
  6. Step 6: Final answer
    x = 390.52

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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.