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Finding the Fourth Proportional to 198.84, 274.02 and 143.48

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Solution

The fourth proportional to 198.84, 274.02 and 143.48 is: 197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 274.02 = 143.48 : x
  2. Step 2: Convert to fraction form
    198.84/274.02 = 143.48/x
  3. Step 3: Cross multiply
    198.84x = 274.02 × 143.48
  4. Step 4: Simplify right side
    198.84x = 39,315.02
  5. Step 5: Solve for x
    x = 39,315.02/198.84
  6. Step 6: Final answer
    x = 197.72

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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.