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Finding the Fourth Proportional to 201.42, 276.21 and 179.55

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Solution

The fourth proportional to 201.42, 276.21 and 179.55 is: 246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.42 : 276.21 = 179.55 : x
  2. Step 2: Convert to fraction form
    201.42/276.21 = 179.55/x
  3. Step 3: Cross multiply
    201.42x = 276.21 × 179.55
  4. Step 4: Simplify right side
    201.42x = 49,593.51
  5. Step 5: Solve for x
    x = 49,593.51/201.42
  6. Step 6: Final answer
    x = 246.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.