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Finding the Fourth Proportional to 245.36, 338.24 and 203.72

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Solution

The fourth proportional to 245.36, 338.24 and 203.72 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 338.24 = 203.72 : x
  2. Step 2: Convert to fraction form
    245.36/338.24 = 203.72/x
  3. Step 3: Cross multiply
    245.36x = 338.24 × 203.72
  4. Step 4: Simplify right side
    245.36x = 68,905.07
  5. Step 5: Solve for x
    x = 68,905.07/245.36
  6. Step 6: Final answer
    x = 280.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.