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Finding the Fourth Proportional to 281.93, 421.22 and 272.36

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Solution

The fourth proportional to 281.93, 421.22 and 272.36 is: 406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.93 : 421.22 = 272.36 : x
  2. Step 2: Convert to fraction form
    281.93/421.22 = 272.36/x
  3. Step 3: Cross multiply
    281.93x = 421.22 × 272.36
  4. Step 4: Simplify right side
    281.93x = 114,720.01
  5. Step 5: Solve for x
    x = 114,720.01/281.93
  6. Step 6: Final answer
    x = 406.92

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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.