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Finding the Fourth Proportional to 245, 366.96 and 223.94

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Solution

The fourth proportional to 245, 366.96 and 223.94 is: 335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245 : 366.96 = 223.94 : x
  2. Step 2: Convert to fraction form
    245/366.96 = 223.94/x
  3. Step 3: Cross multiply
    245x = 366.96 × 223.94
  4. Step 4: Simplify right side
    245x = 82,177.02
  5. Step 5: Solve for x
    x = 82,177.02/245
  6. Step 6: Final answer
    x = 335.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.