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Finding the Fourth Proportional to 271.98, 405.57 and 252.13

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Solution

The fourth proportional to 271.98, 405.57 and 252.13 is: 375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.98 : 405.57 = 252.13 : x
  2. Step 2: Convert to fraction form
    271.98/405.57 = 252.13/x
  3. Step 3: Cross multiply
    271.98x = 405.57 × 252.13
  4. Step 4: Simplify right side
    271.98x = 102,256.36
  5. Step 5: Solve for x
    x = 102,256.36/271.98
  6. Step 6: Final answer
    x = 375.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.