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Finding the Fourth Proportional to 251.44, 347.31 and 216.82

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Solution

The fourth proportional to 251.44, 347.31 and 216.82 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.44 : 347.31 = 216.82 : x
  2. Step 2: Convert to fraction form
    251.44/347.31 = 216.82/x
  3. Step 3: Cross multiply
    251.44x = 347.31 × 216.82
  4. Step 4: Simplify right side
    251.44x = 75,303.75
  5. Step 5: Solve for x
    x = 75,303.75/251.44
  6. Step 6: Final answer
    x = 299.49

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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.