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Finding the Fourth Proportional to 271.54, 374.76 and 198.10

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Solution

The fourth proportional to 271.54, 374.76 and 198.10 is: 273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.54 : 374.76 = 198.10 : x
  2. Step 2: Convert to fraction form
    271.54/374.76 = 198.10/x
  3. Step 3: Cross multiply
    271.54x = 374.76 × 198.10
  4. Step 4: Simplify right side
    271.54x = 74,239.96
  5. Step 5: Solve for x
    x = 74,239.96/271.54
  6. Step 6: Final answer
    x = 273.40

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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.