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Finding the Fourth Proportional to 281.92, 421.21 and 272.36

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Solution

The fourth proportional to 281.92, 421.21 and 272.36 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.92 : 421.21 = 272.36 : x
  2. Step 2: Convert to fraction form
    281.92/421.21 = 272.36/x
  3. Step 3: Cross multiply
    281.92x = 421.21 × 272.36
  4. Step 4: Simplify right side
    281.92x = 114,720.76
  5. Step 5: Solve for x
    x = 114,720.76/281.92
  6. Step 6: Final answer
    x = 406.93

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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.