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Finding the Fourth Proportional to 244.78, 338.08 and 221.46

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Solution

The fourth proportional to 244.78, 338.08 and 221.46 is: 305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.78 : 338.08 = 221.46 : x
  2. Step 2: Convert to fraction form
    244.78/338.08 = 221.46/x
  3. Step 3: Cross multiply
    244.78x = 338.08 × 221.46
  4. Step 4: Simplify right side
    244.78x = 74,871.20
  5. Step 5: Solve for x
    x = 74,871.20/244.78
  6. Step 6: Final answer
    x = 305.87

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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.