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Finding the Fourth Proportional to 245.97, 370.61 and 222.86

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Solution

The fourth proportional to 245.97, 370.61 and 222.86 is: 335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.97 : 370.61 = 222.86 : x
  2. Step 2: Convert to fraction form
    245.97/370.61 = 222.86/x
  3. Step 3: Cross multiply
    245.97x = 370.61 × 222.86
  4. Step 4: Simplify right side
    245.97x = 82,591.18
  5. Step 5: Solve for x
    x = 82,591.18/245.97
  6. Step 6: Final answer
    x = 335.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.