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Finding the Fourth Proportional to 251.78, 347.20 and 216.94

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Solution

The fourth proportional to 251.78, 347.20 and 216.94 is: 299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.78 : 347.20 = 216.94 : x
  2. Step 2: Convert to fraction form
    251.78/347.20 = 216.94/x
  3. Step 3: Cross multiply
    251.78x = 347.20 × 216.94
  4. Step 4: Simplify right side
    251.78x = 75,321.57
  5. Step 5: Solve for x
    x = 75,321.57/251.78
  6. Step 6: Final answer
    x = 299.16

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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.