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Finding the Fourth Proportional to 281.14, 421.51 and 107.66

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Solution

The fourth proportional to 281.14, 421.51 and 107.66 is: 161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.14 : 421.51 = 107.66 : x
  2. Step 2: Convert to fraction form
    281.14/421.51 = 107.66/x
  3. Step 3: Cross multiply
    281.14x = 421.51 × 107.66
  4. Step 4: Simplify right side
    281.14x = 45,381.32
  5. Step 5: Solve for x
    x = 45,381.32/281.14
  6. Step 6: Final answer
    x = 161.42

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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.