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Finding the Fourth Proportional to 271.65, 405.50 and 251.63

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Solution

The fourth proportional to 271.65, 405.50 and 251.63 is: 375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.65 : 405.50 = 251.63 : x
  2. Step 2: Convert to fraction form
    271.65/405.50 = 251.63/x
  3. Step 3: Cross multiply
    271.65x = 405.50 × 251.63
  4. Step 4: Simplify right side
    271.65x = 102,034.57
  5. Step 5: Solve for x
    x = 102,034.57/271.65
  6. Step 6: Final answer
    x = 375.61

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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.