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Finding the Fourth Proportional to 245.73, 337.83 and 219.24

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Solution

The fourth proportional to 245.73, 337.83 and 219.24 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.73 : 337.83 = 219.24 : x
  2. Step 2: Convert to fraction form
    245.73/337.83 = 219.24/x
  3. Step 3: Cross multiply
    245.73x = 337.83 × 219.24
  4. Step 4: Simplify right side
    245.73x = 74,065.85
  5. Step 5: Solve for x
    x = 74,065.85/245.73
  6. Step 6: Final answer
    x = 301.41

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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.