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Finding the Fourth Proportional to 271.03, 374.03 and 205.42

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Solution

The fourth proportional to 271.03, 374.03 and 205.42 is: 283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.03 : 374.03 = 205.42 : x
  2. Step 2: Convert to fraction form
    271.03/374.03 = 205.42/x
  3. Step 3: Cross multiply
    271.03x = 374.03 × 205.42
  4. Step 4: Simplify right side
    271.03x = 76,833.24
  5. Step 5: Solve for x
    x = 76,833.24/271.03
  6. Step 6: Final answer
    x = 283.49

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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.