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Finding the Fourth Proportional to 281.03, 420.87 and 199.49

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Solution

The fourth proportional to 281.03, 420.87 and 199.49 is: 298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.03 : 420.87 = 199.49 : x
  2. Step 2: Convert to fraction form
    281.03/420.87 = 199.49/x
  3. Step 3: Cross multiply
    281.03x = 420.87 × 199.49
  4. Step 4: Simplify right side
    281.03x = 83,959.36
  5. Step 5: Solve for x
    x = 83,959.36/281.03
  6. Step 6: Final answer
    x = 298.76

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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.