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Finding the Fourth Proportional to 271.55, 405.10 and 251.91

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Solution

The fourth proportional to 271.55, 405.10 and 251.91 is: 375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.55 : 405.10 = 251.91 : x
  2. Step 2: Convert to fraction form
    271.55/405.10 = 251.91/x
  3. Step 3: Cross multiply
    271.55x = 405.10 × 251.91
  4. Step 4: Simplify right side
    271.55x = 102,049.06
  5. Step 5: Solve for x
    x = 102,049.06/271.55
  6. Step 6: Final answer
    x = 375.80

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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.