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Finding the Fourth Proportional to 199.17, 274.78 and 143.79

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Solution

The fourth proportional to 199.17, 274.78 and 143.79 is: 198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.17 : 274.78 = 143.79 : x
  2. Step 2: Convert to fraction form
    199.17/274.78 = 143.79/x
  3. Step 3: Cross multiply
    199.17x = 274.78 × 143.79
  4. Step 4: Simplify right side
    199.17x = 39,510.08
  5. Step 5: Solve for x
    x = 39,510.08/199.17
  6. Step 6: Final answer
    x = 198.37

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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.