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Finding the Fourth Proportional to 198.74, 274.24 and 111.40

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Solution

The fourth proportional to 198.74, 274.24 and 111.40 is: 153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.74 : 274.24 = 111.40 : x
  2. Step 2: Convert to fraction form
    198.74/274.24 = 111.40/x
  3. Step 3: Cross multiply
    198.74x = 274.24 × 111.40
  4. Step 4: Simplify right side
    198.74x = 30,550.34
  5. Step 5: Solve for x
    x = 30,550.34/198.74
  6. Step 6: Final answer
    x = 153.72

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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.