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Finding the Fourth Proportional to 251.80, 347.22 and 173.23

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Solution

The fourth proportional to 251.80, 347.22 and 173.23 is: 238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.80 : 347.22 = 173.23 : x
  2. Step 2: Convert to fraction form
    251.80/347.22 = 173.23/x
  3. Step 3: Cross multiply
    251.80x = 347.22 × 173.23
  4. Step 4: Simplify right side
    251.80x = 60,148.92
  5. Step 5: Solve for x
    x = 60,148.92/251.80
  6. Step 6: Final answer
    x = 238.88

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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.