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Finding the Fourth Proportional to 251.73, 345.53 and 223.48

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Solution

The fourth proportional to 251.73, 345.53 and 223.48 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.73 : 345.53 = 223.48 : x
  2. Step 2: Convert to fraction form
    251.73/345.53 = 223.48/x
  3. Step 3: Cross multiply
    251.73x = 345.53 × 223.48
  4. Step 4: Simplify right side
    251.73x = 77,220.24
  5. Step 5: Solve for x
    x = 77,220.24/251.73
  6. Step 6: Final answer
    x = 306.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.