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Finding the Fourth Proportional to 271.44, 375.06 and 206.46

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Solution

The fourth proportional to 271.44, 375.06 and 206.46 is: 285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 375.06 = 206.46 : x
  2. Step 2: Convert to fraction form
    271.44/375.06 = 206.46/x
  3. Step 3: Cross multiply
    271.44x = 375.06 × 206.46
  4. Step 4: Simplify right side
    271.44x = 77,434.89
  5. Step 5: Solve for x
    x = 77,434.89/271.44
  6. Step 6: Final answer
    x = 285.27

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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.