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Finding the Fourth Proportional to 201.84, 301.08 and 179.28

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Solution

The fourth proportional to 201.84, 301.08 and 179.28 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 301.08 = 179.28 : x
  2. Step 2: Convert to fraction form
    201.84/301.08 = 179.28/x
  3. Step 3: Cross multiply
    201.84x = 301.08 × 179.28
  4. Step 4: Simplify right side
    201.84x = 53,977.62
  5. Step 5: Solve for x
    x = 53,977.62/201.84
  6. Step 6: Final answer
    x = 267.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.