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Finding the Fourth Proportional to 245.12, 339.96 and 224.62

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Solution

The fourth proportional to 245.12, 339.96 and 224.62 is: 311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.12 : 339.96 = 224.62 : x
  2. Step 2: Convert to fraction form
    245.12/339.96 = 224.62/x
  3. Step 3: Cross multiply
    245.12x = 339.96 × 224.62
  4. Step 4: Simplify right side
    245.12x = 76,360.69
  5. Step 5: Solve for x
    x = 76,360.69/245.12
  6. Step 6: Final answer
    x = 311.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.