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Finding the Fourth Proportional to 271.39, 409.07 and 248.31

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Solution

The fourth proportional to 271.39, 409.07 and 248.31 is: 374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.39 : 409.07 = 248.31 : x
  2. Step 2: Convert to fraction form
    271.39/409.07 = 248.31/x
  3. Step 3: Cross multiply
    271.39x = 409.07 × 248.31
  4. Step 4: Simplify right side
    271.39x = 101,576.17
  5. Step 5: Solve for x
    x = 101,576.17/271.39
  6. Step 6: Final answer
    x = 374.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.