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Finding the Fourth Proportional to 281.98, 389.25 and 199.15

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Solution

The fourth proportional to 281.98, 389.25 and 199.15 is: 274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.98 : 389.25 = 199.15 : x
  2. Step 2: Convert to fraction form
    281.98/389.25 = 199.15/x
  3. Step 3: Cross multiply
    281.98x = 389.25 × 199.15
  4. Step 4: Simplify right side
    281.98x = 77,519.14
  5. Step 5: Solve for x
    x = 77,519.14/281.98
  6. Step 6: Final answer
    x = 274.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.