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Finding the Fourth Proportional to 199.88, 274.57 and 181.52

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Solution

The fourth proportional to 199.88, 274.57 and 181.52 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.88 : 274.57 = 181.52 : x
  2. Step 2: Convert to fraction form
    199.88/274.57 = 181.52/x
  3. Step 3: Cross multiply
    199.88x = 274.57 × 181.52
  4. Step 4: Simplify right side
    199.88x = 49,839.95
  5. Step 5: Solve for x
    x = 49,839.95/199.88
  6. Step 6: Final answer
    x = 249.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.