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Finding the Fourth Proportional to 271.97, 407.80 and 185.42

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Solution

The fourth proportional to 271.97, 407.80 and 185.42 is: 278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.97 : 407.80 = 185.42 : x
  2. Step 2: Convert to fraction form
    271.97/407.80 = 185.42/x
  3. Step 3: Cross multiply
    271.97x = 407.80 × 185.42
  4. Step 4: Simplify right side
    271.97x = 75,614.28
  5. Step 5: Solve for x
    x = 75,614.28/271.97
  6. Step 6: Final answer
    x = 278.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.