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Finding the Fourth Proportional to 201.63, 278.04 and 164.67

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Solution

The fourth proportional to 201.63, 278.04 and 164.67 is: 227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.63 : 278.04 = 164.67 : x
  2. Step 2: Convert to fraction form
    201.63/278.04 = 164.67/x
  3. Step 3: Cross multiply
    201.63x = 278.04 × 164.67
  4. Step 4: Simplify right side
    201.63x = 45,784.85
  5. Step 5: Solve for x
    x = 45,784.85/201.63
  6. Step 6: Final answer
    x = 227.07

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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.