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Finding the Fourth Proportional to 271.38, 407.18 and 134.43

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Solution

The fourth proportional to 271.38, 407.18 and 134.43 is: 201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.38 : 407.18 = 134.43 : x
  2. Step 2: Convert to fraction form
    271.38/407.18 = 134.43/x
  3. Step 3: Cross multiply
    271.38x = 407.18 × 134.43
  4. Step 4: Simplify right side
    271.38x = 54,736.02
  5. Step 5: Solve for x
    x = 54,736.02/271.38
  6. Step 6: Final answer
    x = 201.70

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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.